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Finding the Third Proportional to 119,330 and 183,555

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Solution

The third proportional to 119,330 and 183,555 is: 282,346.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,330 : 183,555 = 183,555 : x
  2. Step 2: Convert to fraction form
    119,330/183,555 = 183,555/x
  3. Step 3: Cross multiply
    119,330x = 183,555 × 183,555
  4. Step 4: Simplify right side
    119,330x = 33,692,438,025
  5. Step 5: Solve for x
    x = 33,692,438,025/119,330
  6. Step 6: Final answer
    x = 282,346.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.