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Finding the Third Proportional to 115,005 and 247,506

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Solution

The third proportional to 115,005 and 247,506 is: 532,665.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,005 : 247,506 = 247,506 : x
  2. Step 2: Convert to fraction form
    115,005/247,506 = 247,506/x
  3. Step 3: Cross multiply
    115,005x = 247,506 × 247,506
  4. Step 4: Simplify right side
    115,005x = 61,259,220,036
  5. Step 5: Solve for x
    x = 61,259,220,036/115,005
  6. Step 6: Final answer
    x = 532,665.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.