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Finding the Third Proportional to 151,860 and 235,749

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Solution

The third proportional to 151,860 and 235,749 is: 365,979.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,860 : 235,749 = 235,749 : x
  2. Step 2: Convert to fraction form
    151,860/235,749 = 235,749/x
  3. Step 3: Cross multiply
    151,860x = 235,749 × 235,749
  4. Step 4: Simplify right side
    151,860x = 55,577,591,001
  5. Step 5: Solve for x
    x = 55,577,591,001/151,860
  6. Step 6: Final answer
    x = 365,979.13

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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.