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Finding the Third Proportional to 235,174.50 and 354,948.75

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Solution

The third proportional to 235,174.50 and 354,948.75 is: 535,723.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,174.50 : 354,948.75 = 354,948.75 : x
  2. Step 2: Convert to fraction form
    235,174.50/354,948.75 = 354,948.75/x
  3. Step 3: Cross multiply
    235,174.50x = 354,948.75 × 354,948.75
  4. Step 4: Simplify right side
    235,174.50x = 125,988,615,126.56
  5. Step 5: Solve for x
    x = 125,988,615,126.56/235,174.50
  6. Step 6: Final answer
    x = 535,723.96

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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.