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Finding the Third Proportional to 155,061 and 232,591.50

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Solution

The third proportional to 155,061 and 232,591.50 is: 348,887.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,061 : 232,591.50 = 232,591.50 : x
  2. Step 2: Convert to fraction form
    155,061/232,591.50 = 232,591.50/x
  3. Step 3: Cross multiply
    155,061x = 232,591.50 × 232,591.50
  4. Step 4: Simplify right side
    155,061x = 54,098,805,872.25
  5. Step 5: Solve for x
    x = 54,098,805,872.25/155,061
  6. Step 6: Final answer
    x = 348,887.25

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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.