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Finding the Third Proportional to 206,761.50 and 310,225.50

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Solution

The third proportional to 206,761.50 and 310,225.50 is: 465,463.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,761.50 : 310,225.50 = 310,225.50 : x
  2. Step 2: Convert to fraction form
    206,761.50/310,225.50 = 310,225.50/x
  3. Step 3: Cross multiply
    206,761.50x = 310,225.50 × 310,225.50
  4. Step 4: Simplify right side
    206,761.50x = 96,239,860,850.25
  5. Step 5: Solve for x
    x = 96,239,860,850.25/206,761.50
  6. Step 6: Final answer
    x = 465,463.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.