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Finding the Third Proportional to 232,199 and 354,304

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Solution

The third proportional to 232,199 and 354,304 is: 540,619.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,199 : 354,304 = 354,304 : x
  2. Step 2: Convert to fraction form
    232,199/354,304 = 354,304/x
  3. Step 3: Cross multiply
    232,199x = 354,304 × 354,304
  4. Step 4: Simplify right side
    232,199x = 125,531,324,416
  5. Step 5: Solve for x
    x = 125,531,324,416/232,199
  6. Step 6: Final answer
    x = 540,619.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.