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Finding the Third Proportional to 155,736 and 240,900

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Solution

The third proportional to 155,736 and 240,900 is: 372,635.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,736 : 240,900 = 240,900 : x
  2. Step 2: Convert to fraction form
    155,736/240,900 = 240,900/x
  3. Step 3: Cross multiply
    155,736x = 240,900 × 240,900
  4. Step 4: Simplify right side
    155,736x = 58,032,810,000
  5. Step 5: Solve for x
    x = 58,032,810,000/155,736
  6. Step 6: Final answer
    x = 372,635.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.