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Finding the Third Proportional to 238,276.27 and 515,269.69

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Solution

The third proportional to 238,276.27 and 515,269.69 is: 1,114,264.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,276.27 : 515,269.69 = 515,269.69 : x
  2. Step 2: Convert to fraction form
    238,276.27/515,269.69 = 515,269.69/x
  3. Step 3: Cross multiply
    238,276.27x = 515,269.69 × 515,269.69
  4. Step 4: Simplify right side
    238,276.27x = 265,502,850,856.35
  5. Step 5: Solve for x
    x = 265,502,850,856.35/238,276.27
  6. Step 6: Final answer
    x = 1,114,264.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.