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Finding the Third Proportional to 110,496 and 238,464

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Solution

The third proportional to 110,496 and 238,464 is: 514,634.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,496 : 238,464 = 238,464 : x
  2. Step 2: Convert to fraction form
    110,496/238,464 = 238,464/x
  3. Step 3: Cross multiply
    110,496x = 238,464 × 238,464
  4. Step 4: Simplify right side
    110,496x = 56,865,079,296
  5. Step 5: Solve for x
    x = 56,865,079,296/110,496
  6. Step 6: Final answer
    x = 514,634.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.