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Finding the Third Proportional to 118,460 and 261,832

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Solution

The third proportional to 118,460 and 261,832 is: 578,726.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,460 : 261,832 = 261,832 : x
  2. Step 2: Convert to fraction form
    118,460/261,832 = 261,832/x
  3. Step 3: Cross multiply
    118,460x = 261,832 × 261,832
  4. Step 4: Simplify right side
    118,460x = 68,555,996,224
  5. Step 5: Solve for x
    x = 68,555,996,224/118,460
  6. Step 6: Final answer
    x = 578,726.96

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.