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Finding the Third Proportional to 232,088 and 349,980

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Solution

The third proportional to 232,088 and 349,980 is: 527,756.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,088 : 349,980 = 349,980 : x
  2. Step 2: Convert to fraction form
    232,088/349,980 = 349,980/x
  3. Step 3: Cross multiply
    232,088x = 349,980 × 349,980
  4. Step 4: Simplify right side
    232,088x = 122,486,000,400
  5. Step 5: Solve for x
    x = 122,486,000,400/232,088
  6. Step 6: Final answer
    x = 527,756.71

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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.