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Finding the Third Proportional to 110,400 and 238,272

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Solution

The third proportional to 110,400 and 238,272 is: 514,253.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,400 : 238,272 = 238,272 : x
  2. Step 2: Convert to fraction form
    110,400/238,272 = 238,272/x
  3. Step 3: Cross multiply
    110,400x = 238,272 × 238,272
  4. Step 4: Simplify right side
    110,400x = 56,773,545,984
  5. Step 5: Solve for x
    x = 56,773,545,984/110,400
  6. Step 6: Final answer
    x = 514,253.13

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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.