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Finding the Third Proportional to 212,082 and 454,869.75

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Solution

The third proportional to 212,082 and 454,869.75 is: 975,596.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,082 : 454,869.75 = 454,869.75 : x
  2. Step 2: Convert to fraction form
    212,082/454,869.75 = 454,869.75/x
  3. Step 3: Cross multiply
    212,082x = 454,869.75 × 454,869.75
  4. Step 4: Simplify right side
    212,082x = 206,906,489,465.06
  5. Step 5: Solve for x
    x = 206,906,489,465.06/212,082
  6. Step 6: Final answer
    x = 975,596.65

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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.