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Finding the Third Proportional to 232,781.50 and 371,924.50

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Solution

The third proportional to 232,781.50 and 371,924.50 is: 594,238.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,781.50 : 371,924.50 = 371,924.50 : x
  2. Step 2: Convert to fraction form
    232,781.50/371,924.50 = 371,924.50/x
  3. Step 3: Cross multiply
    232,781.50x = 371,924.50 × 371,924.50
  4. Step 4: Simplify right side
    232,781.50x = 138,327,833,700.25
  5. Step 5: Solve for x
    x = 138,327,833,700.25/232,781.50
  6. Step 6: Final answer
    x = 594,238.95

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.