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Finding the Third Proportional to 151,499 and 235,234

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Solution

The third proportional to 151,499 and 235,234 is: 365,250.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,499 : 235,234 = 235,234 : x
  2. Step 2: Convert to fraction form
    151,499/235,234 = 235,234/x
  3. Step 3: Cross multiply
    151,499x = 235,234 × 235,234
  4. Step 4: Simplify right side
    151,499x = 55,335,034,756
  5. Step 5: Solve for x
    x = 55,335,034,756/151,499
  6. Step 6: Final answer
    x = 365,250.17

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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.