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Finding the Third Proportional to 151,499 and 230,394

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Solution

The third proportional to 151,499 and 230,394 is: 350,374.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,499 : 230,394 = 230,394 : x
  2. Step 2: Convert to fraction form
    151,499/230,394 = 230,394/x
  3. Step 3: Cross multiply
    151,499x = 230,394 × 230,394
  4. Step 4: Simplify right side
    151,499x = 53,081,395,236
  5. Step 5: Solve for x
    x = 53,081,395,236/151,499
  6. Step 6: Final answer
    x = 350,374.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.