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Finding the Third Proportional to 186,987 and 411,357

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Solution

The third proportional to 186,987 and 411,357 is: 904,953.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,987 : 411,357 = 411,357 : x
  2. Step 2: Convert to fraction form
    186,987/411,357 = 411,357/x
  3. Step 3: Cross multiply
    186,987x = 411,357 × 411,357
  4. Step 4: Simplify right side
    186,987x = 169,214,581,449
  5. Step 5: Solve for x
    x = 169,214,581,449/186,987
  6. Step 6: Final answer
    x = 904,953.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.