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Finding the Third Proportional to 182,508 and 244,128

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Solution

The third proportional to 182,508 and 244,128 is: 326,552.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,508 : 244,128 = 244,128 : x
  2. Step 2: Convert to fraction form
    182,508/244,128 = 244,128/x
  3. Step 3: Cross multiply
    182,508x = 244,128 × 244,128
  4. Step 4: Simplify right side
    182,508x = 59,598,480,384
  5. Step 5: Solve for x
    x = 59,598,480,384/182,508
  6. Step 6: Final answer
    x = 326,552.70

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.