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Finding the Third Proportional to 232,569 and 348,858

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Solution

The third proportional to 232,569 and 348,858 is: 523,293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,569 : 348,858 = 348,858 : x
  2. Step 2: Convert to fraction form
    232,569/348,858 = 348,858/x
  3. Step 3: Cross multiply
    232,569x = 348,858 × 348,858
  4. Step 4: Simplify right side
    232,569x = 121,701,904,164
  5. Step 5: Solve for x
    x = 121,701,904,164/232,569
  6. Step 6: Final answer
    x = 523,293.75

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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.