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Finding the Third Proportional to 142,510 and 225,649

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Solution

The third proportional to 142,510 and 225,649 is: 357,290.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,510 : 225,649 = 225,649 : x
  2. Step 2: Convert to fraction form
    142,510/225,649 = 225,649/x
  3. Step 3: Cross multiply
    142,510x = 225,649 × 225,649
  4. Step 4: Simplify right side
    142,510x = 50,917,471,201
  5. Step 5: Solve for x
    x = 50,917,471,201/142,510
  6. Step 6: Final answer
    x = 357,290.51

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.