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Finding the Third Proportional to 186,663 and 252,346.50

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Solution

The third proportional to 186,663 and 252,346.50 is: 341,142.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,663 : 252,346.50 = 252,346.50 : x
  2. Step 2: Convert to fraction form
    186,663/252,346.50 = 252,346.50/x
  3. Step 3: Cross multiply
    186,663x = 252,346.50 × 252,346.50
  4. Step 4: Simplify right side
    186,663x = 63,678,756,062.25
  5. Step 5: Solve for x
    x = 63,678,756,062.25/186,663
  6. Step 6: Final answer
    x = 341,142.89

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