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Finding the Third Proportional to 115,765 and 237,674

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Solution

The third proportional to 115,765 and 237,674 is: 487,962.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,765 : 237,674 = 237,674 : x
  2. Step 2: Convert to fraction form
    115,765/237,674 = 237,674/x
  3. Step 3: Cross multiply
    115,765x = 237,674 × 237,674
  4. Step 4: Simplify right side
    115,765x = 56,488,930,276
  5. Step 5: Solve for x
    x = 56,488,930,276/115,765
  6. Step 6: Final answer
    x = 487,962.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.