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Finding the Third Proportional to 137,283 and 281,257.50

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Solution

The third proportional to 137,283 and 281,257.50 is: 576,224.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,283 : 281,257.50 = 281,257.50 : x
  2. Step 2: Convert to fraction form
    137,283/281,257.50 = 281,257.50/x
  3. Step 3: Cross multiply
    137,283x = 281,257.50 × 281,257.50
  4. Step 4: Simplify right side
    137,283x = 79,105,781,306.25
  5. Step 5: Solve for x
    x = 79,105,781,306.25/137,283
  6. Step 6: Final answer
    x = 576,224.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.