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Finding the Third Proportional to 220,747.50 and 341,732.25

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Solution

The third proportional to 220,747.50 and 341,732.25 is: 529,024.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,747.50 : 341,732.25 = 341,732.25 : x
  2. Step 2: Convert to fraction form
    220,747.50/341,732.25 = 341,732.25/x
  3. Step 3: Cross multiply
    220,747.50x = 341,732.25 × 341,732.25
  4. Step 4: Simplify right side
    220,747.50x = 116,780,930,690.06
  5. Step 5: Solve for x
    x = 116,780,930,690.06/220,747.50
  6. Step 6: Final answer
    x = 529,024.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.