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Finding the Third Proportional to 119,400.75 and 186,364.13

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Solution

The third proportional to 119,400.75 and 186,364.13 is: 290,882.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,400.75 : 186,364.13 = 186,364.13 : x
  2. Step 2: Convert to fraction form
    119,400.75/186,364.13 = 186,364.13/x
  3. Step 3: Cross multiply
    119,400.75x = 186,364.13 × 186,364.13
  4. Step 4: Simplify right side
    119,400.75x = 34,731,587,087.02
  5. Step 5: Solve for x
    x = 34,731,587,087.02/119,400.75
  6. Step 6: Final answer
    x = 290,882.49

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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.