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Finding the Third Proportional to 232,528 and 350,500

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Solution

The third proportional to 232,528 and 350,500 is: 528,324.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,528 : 350,500 = 350,500 : x
  2. Step 2: Convert to fraction form
    232,528/350,500 = 350,500/x
  3. Step 3: Cross multiply
    232,528x = 350,500 × 350,500
  4. Step 4: Simplify right side
    232,528x = 122,850,250,000
  5. Step 5: Solve for x
    x = 122,850,250,000/232,528
  6. Step 6: Final answer
    x = 528,324.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.