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Finding the Third Proportional to 110,456 and 238,396

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Solution

The third proportional to 110,456 and 238,396 is: 514,527.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,456 : 238,396 = 238,396 : x
  2. Step 2: Convert to fraction form
    110,456/238,396 = 238,396/x
  3. Step 3: Cross multiply
    110,456x = 238,396 × 238,396
  4. Step 4: Simplify right side
    110,456x = 56,832,652,816
  5. Step 5: Solve for x
    x = 56,832,652,816/110,456
  6. Step 6: Final answer
    x = 514,527.53

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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.