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Finding the Third Proportional to 212,174.25 and 454,685.25

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Solution

The third proportional to 212,174.25 and 454,685.25 is: 974,381.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,174.25 : 454,685.25 = 454,685.25 : x
  2. Step 2: Convert to fraction form
    212,174.25/454,685.25 = 454,685.25/x
  3. Step 3: Cross multiply
    212,174.25x = 454,685.25 × 454,685.25
  4. Step 4: Simplify right side
    212,174.25x = 206,738,676,567.56
  5. Step 5: Solve for x
    x = 206,738,676,567.56/212,174.25
  6. Step 6: Final answer
    x = 974,381.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.