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Finding the Third Proportional to 232,632 and 348,939

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Solution

The third proportional to 232,632 and 348,939 is: 523,395.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,632 : 348,939 = 348,939 : x
  2. Step 2: Convert to fraction form
    232,632/348,939 = 348,939/x
  3. Step 3: Cross multiply
    232,632x = 348,939 × 348,939
  4. Step 4: Simplify right side
    232,632x = 121,758,425,721
  5. Step 5: Solve for x
    x = 121,758,425,721/232,632
  6. Step 6: Final answer
    x = 523,395.00

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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.