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Finding the Third Proportional to 186,715.13 and 379,581.19

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Solution

The third proportional to 186,715.13 and 379,581.19 is: 771,666.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,715.13 : 379,581.19 = 379,581.19 : x
  2. Step 2: Convert to fraction form
    186,715.13/379,581.19 = 379,581.19/x
  3. Step 3: Cross multiply
    186,715.13x = 379,581.19 × 379,581.19
  4. Step 4: Simplify right side
    186,715.13x = 144,081,877,903.91
  5. Step 5: Solve for x
    x = 144,081,877,903.91/186,715.13
  6. Step 6: Final answer
    x = 771,666.88

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.