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Finding the Third Proportional to 155,548.50 and 234,750

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Solution

The third proportional to 155,548.50 and 234,750 is: 354,278.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,548.50 : 234,750 = 234,750 : x
  2. Step 2: Convert to fraction form
    155,548.50/234,750 = 234,750/x
  3. Step 3: Cross multiply
    155,548.50x = 234,750 × 234,750
  4. Step 4: Simplify right side
    155,548.50x = 55,107,562,500
  5. Step 5: Solve for x
    x = 55,107,562,500/155,548.50
  6. Step 6: Final answer
    x = 354,278.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.