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Finding the Third Proportional to 145,446 and 225,081

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Solution

The third proportional to 145,446 and 225,081 is: 348,317.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,446 : 225,081 = 225,081 : x
  2. Step 2: Convert to fraction form
    145,446/225,081 = 225,081/x
  3. Step 3: Cross multiply
    145,446x = 225,081 × 225,081
  4. Step 4: Simplify right side
    145,446x = 50,661,456,561
  5. Step 5: Solve for x
    x = 50,661,456,561/145,446
  6. Step 6: Final answer
    x = 348,317.98

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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.