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Finding the Third Proportional to 186,490.13 and 407,892.38

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Solution

The third proportional to 186,490.13 and 407,892.38 is: 892,144.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,490.13 : 407,892.38 = 407,892.38 : x
  2. Step 2: Convert to fraction form
    186,490.13/407,892.38 = 407,892.38/x
  3. Step 3: Cross multiply
    186,490.13x = 407,892.38 × 407,892.38
  4. Step 4: Simplify right side
    186,490.13x = 166,376,189,583.14
  5. Step 5: Solve for x
    x = 166,376,189,583.14/186,490.13
  6. Step 6: Final answer
    x = 892,144.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.