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Finding the Third Proportional to 119,416.50 and 186,387.75

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Solution

The third proportional to 119,416.50 and 186,387.75 is: 290,917.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,416.50 : 186,387.75 = 186,387.75 : x
  2. Step 2: Convert to fraction form
    119,416.50/186,387.75 = 186,387.75/x
  3. Step 3: Cross multiply
    119,416.50x = 186,387.75 × 186,387.75
  4. Step 4: Simplify right side
    119,416.50x = 34,740,393,350.06
  5. Step 5: Solve for x
    x = 34,740,393,350.06/119,416.50
  6. Step 6: Final answer
    x = 290,917.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.