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Finding the Third Proportional to 151,434.56 and 235,140.47

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Solution

The third proportional to 151,434.56 and 235,140.47 is: 365,115.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,434.56 : 235,140.47 = 235,140.47 : x
  2. Step 2: Convert to fraction form
    151,434.56/235,140.47 = 235,140.47/x
  3. Step 3: Cross multiply
    151,434.56x = 235,140.47 × 235,140.47
  4. Step 4: Simplify right side
    151,434.56x = 55,291,040,043.97
  5. Step 5: Solve for x
    x = 55,291,040,043.97/151,434.56
  6. Step 6: Final answer
    x = 365,115.06

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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.