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Finding the Third Proportional to 186,660 and 252,342

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Solution

The third proportional to 186,660 and 252,342 is: 341,136.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,660 : 252,342 = 252,342 : x
  2. Step 2: Convert to fraction form
    186,660/252,342 = 252,342/x
  3. Step 3: Cross multiply
    186,660x = 252,342 × 252,342
  4. Step 4: Simplify right side
    186,660x = 63,676,484,964
  5. Step 5: Solve for x
    x = 63,676,484,964/186,660
  6. Step 6: Final answer
    x = 341,136.21

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.