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Finding the Third Proportional to 115,376 and 247,988

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Solution

The third proportional to 115,376 and 247,988 is: 533,022.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,376 : 247,988 = 247,988 : x
  2. Step 2: Convert to fraction form
    115,376/247,988 = 247,988/x
  3. Step 3: Cross multiply
    115,376x = 247,988 × 247,988
  4. Step 4: Simplify right side
    115,376x = 61,498,048,144
  5. Step 5: Solve for x
    x = 61,498,048,144/115,376
  6. Step 6: Final answer
    x = 533,022.88

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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.