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Finding the Third Proportional to 232,548 and 348,822

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Solution

The third proportional to 232,548 and 348,822 is: 523,233

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,548 : 348,822 = 348,822 : x
  2. Step 2: Convert to fraction form
    232,548/348,822 = 348,822/x
  3. Step 3: Cross multiply
    232,548x = 348,822 × 348,822
  4. Step 4: Simplify right side
    232,548x = 121,676,787,684
  5. Step 5: Solve for x
    x = 121,676,787,684/232,548
  6. Step 6: Final answer
    x = 523,233

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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.