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Finding the Third Proportional to 186,639 and 404,382

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Solution

The third proportional to 186,639 and 404,382 is: 876,155.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,639 : 404,382 = 404,382 : x
  2. Step 2: Convert to fraction form
    186,639/404,382 = 404,382/x
  3. Step 3: Cross multiply
    186,639x = 404,382 × 404,382
  4. Step 4: Simplify right side
    186,639x = 163,524,801,924
  5. Step 5: Solve for x
    x = 163,524,801,924/186,639
  6. Step 6: Final answer
    x = 876,155.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.