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Finding the Third Proportional to 155,252 and 233,648

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Solution

The third proportional to 155,252 and 233,648 is: 351,630.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,252 : 233,648 = 233,648 : x
  2. Step 2: Convert to fraction form
    155,252/233,648 = 233,648/x
  3. Step 3: Cross multiply
    155,252x = 233,648 × 233,648
  4. Step 4: Simplify right side
    155,252x = 54,591,387,904
  5. Step 5: Solve for x
    x = 54,591,387,904/155,252
  6. Step 6: Final answer
    x = 351,630.82

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