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Finding the Third Proportional to 155,076.75 and 232,677

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Solution

The third proportional to 155,076.75 and 232,677 is: 349,108.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,076.75 : 232,677 = 232,677 : x
  2. Step 2: Convert to fraction form
    155,076.75/232,677 = 232,677/x
  3. Step 3: Cross multiply
    155,076.75x = 232,677 × 232,677
  4. Step 4: Simplify right side
    155,076.75x = 54,138,586,329
  5. Step 5: Solve for x
    x = 54,138,586,329/155,076.75
  6. Step 6: Final answer
    x = 349,108.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.