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Finding the Third Proportional to 151,528 and 227,292

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Solution

The third proportional to 151,528 and 227,292 is: 340,938

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,528 : 227,292 = 227,292 : x
  2. Step 2: Convert to fraction form
    151,528/227,292 = 227,292/x
  3. Step 3: Cross multiply
    151,528x = 227,292 × 227,292
  4. Step 4: Simplify right side
    151,528x = 51,661,653,264
  5. Step 5: Solve for x
    x = 51,661,653,264/151,528
  6. Step 6: Final answer
    x = 340,938

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.