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Finding the Third Proportional to 138,169.50 and 305,382

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Solution

The third proportional to 138,169.50 and 305,382 is: 674,954.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,169.50 : 305,382 = 305,382 : x
  2. Step 2: Convert to fraction form
    138,169.50/305,382 = 305,382/x
  3. Step 3: Cross multiply
    138,169.50x = 305,382 × 305,382
  4. Step 4: Simplify right side
    138,169.50x = 93,258,165,924
  5. Step 5: Solve for x
    x = 93,258,165,924/138,169.50
  6. Step 6: Final answer
    x = 674,954.79

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.