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Finding the Third Proportional to 145,474 and 225,776

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Solution

The third proportional to 145,474 and 225,776 is: 350,404.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,474 : 225,776 = 225,776 : x
  2. Step 2: Convert to fraction form
    145,474/225,776 = 225,776/x
  3. Step 3: Cross multiply
    145,474x = 225,776 × 225,776
  4. Step 4: Simplify right side
    145,474x = 50,974,802,176
  5. Step 5: Solve for x
    x = 50,974,802,176/145,474
  6. Step 6: Final answer
    x = 350,404.90

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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.