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Finding the Third Proportional to 155,539.50 and 240,600

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Solution

The third proportional to 155,539.50 and 240,600 is: 372,177.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,539.50 : 240,600 = 240,600 : x
  2. Step 2: Convert to fraction form
    155,539.50/240,600 = 240,600/x
  3. Step 3: Cross multiply
    155,539.50x = 240,600 × 240,600
  4. Step 4: Simplify right side
    155,539.50x = 57,888,360,000
  5. Step 5: Solve for x
    x = 57,888,360,000/155,539.50
  6. Step 6: Final answer
    x = 372,177.87

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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.