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Finding the Third Proportional to 151,409 and 235,102

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Solution

The third proportional to 151,409 and 235,102 is: 365,057.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,409 : 235,102 = 235,102 : x
  2. Step 2: Convert to fraction form
    151,409/235,102 = 235,102/x
  3. Step 3: Cross multiply
    151,409x = 235,102 × 235,102
  4. Step 4: Simplify right side
    151,409x = 55,272,950,404
  5. Step 5: Solve for x
    x = 55,272,950,404/151,409
  6. Step 6: Final answer
    x = 365,057.23

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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.