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Finding the Third Proportional to 109,791 and 240,966

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Solution

The third proportional to 109,791 and 240,966 is: 528,864.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,791 : 240,966 = 240,966 : x
  2. Step 2: Convert to fraction form
    109,791/240,966 = 240,966/x
  3. Step 3: Cross multiply
    109,791x = 240,966 × 240,966
  4. Step 4: Simplify right side
    109,791x = 58,064,613,156
  5. Step 5: Solve for x
    x = 58,064,613,156/109,791
  6. Step 6: Final answer
    x = 528,864.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.