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Finding the Third Proportional to 232,082 and 349,971

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Solution

The third proportional to 232,082 and 349,971 is: 527,743.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,082 : 349,971 = 349,971 : x
  2. Step 2: Convert to fraction form
    232,082/349,971 = 349,971/x
  3. Step 3: Cross multiply
    232,082x = 349,971 × 349,971
  4. Step 4: Simplify right side
    232,082x = 122,479,700,841
  5. Step 5: Solve for x
    x = 122,479,700,841/232,082
  6. Step 6: Final answer
    x = 527,743.22

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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.