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Finding the Third Proportional to 186,490.13 and 402,464.25

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Solution

The third proportional to 186,490.13 and 402,464.25 is: 868,557.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,490.13 : 402,464.25 = 402,464.25 : x
  2. Step 2: Convert to fraction form
    186,490.13/402,464.25 = 402,464.25/x
  3. Step 3: Cross multiply
    186,490.13x = 402,464.25 × 402,464.25
  4. Step 4: Simplify right side
    186,490.13x = 161,977,472,528.06
  5. Step 5: Solve for x
    x = 161,977,472,528.06/186,490.13
  6. Step 6: Final answer
    x = 868,557.91

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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.