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Finding the Third Proportional to 110,451 and 235,680

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Solution

The third proportional to 110,451 and 235,680 is: 502,893.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,451 : 235,680 = 235,680 : x
  2. Step 2: Convert to fraction form
    110,451/235,680 = 235,680/x
  3. Step 3: Cross multiply
    110,451x = 235,680 × 235,680
  4. Step 4: Simplify right side
    110,451x = 55,545,062,400
  5. Step 5: Solve for x
    x = 55,545,062,400/110,451
  6. Step 6: Final answer
    x = 502,893.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.