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Finding the Third Proportional to 155,449 and 233,750

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Solution

The third proportional to 155,449 and 233,750 is: 351,491.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,449 : 233,750 = 233,750 : x
  2. Step 2: Convert to fraction form
    155,449/233,750 = 233,750/x
  3. Step 3: Cross multiply
    155,449x = 233,750 × 233,750
  4. Step 4: Simplify right side
    155,449x = 54,639,062,500
  5. Step 5: Solve for x
    x = 54,639,062,500/155,449
  6. Step 6: Final answer
    x = 351,491.89

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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.