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Finding the Third Proportional to 232,542 and 348,816

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Solution

The third proportional to 232,542 and 348,816 is: 523,228.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,542 : 348,816 = 348,816 : x
  2. Step 2: Convert to fraction form
    232,542/348,816 = 348,816/x
  3. Step 3: Cross multiply
    232,542x = 348,816 × 348,816
  4. Step 4: Simplify right side
    232,542x = 121,672,601,856
  5. Step 5: Solve for x
    x = 121,672,601,856/232,542
  6. Step 6: Final answer
    x = 523,228.50

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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.