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Finding the Third Proportional to 110,880 and 243,013.50

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Solution

The third proportional to 110,880 and 243,013.50 is: 532,607.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,880 : 243,013.50 = 243,013.50 : x
  2. Step 2: Convert to fraction form
    110,880/243,013.50 = 243,013.50/x
  3. Step 3: Cross multiply
    110,880x = 243,013.50 × 243,013.50
  4. Step 4: Simplify right side
    110,880x = 59,055,561,182.25
  5. Step 5: Solve for x
    x = 59,055,561,182.25/110,880
  6. Step 6: Final answer
    x = 532,607.88

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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.