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Finding the Third Proportional to 232,458 and 359,199

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Solution

The third proportional to 232,458 and 359,199 is: 555,041.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,458 : 359,199 = 359,199 : x
  2. Step 2: Convert to fraction form
    232,458/359,199 = 359,199/x
  3. Step 3: Cross multiply
    232,458x = 359,199 × 359,199
  4. Step 4: Simplify right side
    232,458x = 129,023,921,601
  5. Step 5: Solve for x
    x = 129,023,921,601/232,458
  6. Step 6: Final answer
    x = 555,041.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.