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Finding the Third Proportional to 115,536 and 240,192

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Solution

The third proportional to 115,536 and 240,192 is: 499,343.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,536 : 240,192 = 240,192 : x
  2. Step 2: Convert to fraction form
    115,536/240,192 = 240,192/x
  3. Step 3: Cross multiply
    115,536x = 240,192 × 240,192
  4. Step 4: Simplify right side
    115,536x = 57,692,196,864
  5. Step 5: Solve for x
    x = 57,692,196,864/115,536
  6. Step 6: Final answer
    x = 499,343.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.