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Finding the Third Proportional to 212,095.13 and 457,400.25

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Solution

The third proportional to 212,095.13 and 457,400.25 is: 986,420.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,095.13 : 457,400.25 = 457,400.25 : x
  2. Step 2: Convert to fraction form
    212,095.13/457,400.25 = 457,400.25/x
  3. Step 3: Cross multiply
    212,095.13x = 457,400.25 × 457,400.25
  4. Step 4: Simplify right side
    212,095.13x = 209,214,988,700.06
  5. Step 5: Solve for x
    x = 209,214,988,700.06/212,095.13
  6. Step 6: Final answer
    x = 986,420.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.