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Finding the Third Proportional to 101,270.25 and 234,445.50

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Solution

The third proportional to 101,270.25 and 234,445.50 is: 542,752.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,270.25 : 234,445.50 = 234,445.50 : x
  2. Step 2: Convert to fraction form
    101,270.25/234,445.50 = 234,445.50/x
  3. Step 3: Cross multiply
    101,270.25x = 234,445.50 × 234,445.50
  4. Step 4: Simplify right side
    101,270.25x = 54,964,692,470.25
  5. Step 5: Solve for x
    x = 54,964,692,470.25/101,270.25
  6. Step 6: Final answer
    x = 542,752.61

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.