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Finding the Third Proportional to 232,872 and 350,664

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Solution

The third proportional to 232,872 and 350,664 is: 528,037.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,872 : 350,664 = 350,664 : x
  2. Step 2: Convert to fraction form
    232,872/350,664 = 350,664/x
  3. Step 3: Cross multiply
    232,872x = 350,664 × 350,664
  4. Step 4: Simplify right side
    232,872x = 122,965,240,896
  5. Step 5: Solve for x
    x = 122,965,240,896/232,872
  6. Step 6: Final answer
    x = 528,037.90

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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.