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Finding the Third Proportional to 155,536 and 240,593

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Solution

The third proportional to 155,536 and 240,593 is: 372,164.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,536 : 240,593 = 240,593 : x
  2. Step 2: Convert to fraction form
    155,536/240,593 = 240,593/x
  3. Step 3: Cross multiply
    155,536x = 240,593 × 240,593
  4. Step 4: Simplify right side
    155,536x = 57,884,991,649
  5. Step 5: Solve for x
    x = 57,884,991,649/155,536
  6. Step 6: Final answer
    x = 372,164.59

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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.