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Finding the Third Proportional to 235,086.75 and 354,817.13

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Solution

The third proportional to 235,086.75 and 354,817.13 is: 535,526.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,086.75 : 354,817.13 = 354,817.13 : x
  2. Step 2: Convert to fraction form
    235,086.75/354,817.13 = 354,817.13/x
  3. Step 3: Cross multiply
    235,086.75x = 354,817.13 × 354,817.13
  4. Step 4: Simplify right side
    235,086.75x = 125,895,192,193.27
  5. Step 5: Solve for x
    x = 125,895,192,193.27/235,086.75
  6. Step 6: Final answer
    x = 535,526.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.