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Finding the Third Proportional to 114,714.98 and 247,882.78

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Solution

The third proportional to 114,714.98 and 247,882.78 is: 535,639.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,714.98 : 247,882.78 = 247,882.78 : x
  2. Step 2: Convert to fraction form
    114,714.98/247,882.78 = 247,882.78/x
  3. Step 3: Cross multiply
    114,714.98x = 247,882.78 × 247,882.78
  4. Step 4: Simplify right side
    114,714.98x = 61,445,873,240.24
  5. Step 5: Solve for x
    x = 61,445,873,240.24/114,714.98
  6. Step 6: Final answer
    x = 535,639.47

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Why These Related Problems?

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