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Finding the Third Proportional to 110,856 and 243,252

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Solution

The third proportional to 110,856 and 243,252 is: 533,769.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,856 : 243,252 = 243,252 : x
  2. Step 2: Convert to fraction form
    110,856/243,252 = 243,252/x
  3. Step 3: Cross multiply
    110,856x = 243,252 × 243,252
  4. Step 4: Simplify right side
    110,856x = 59,171,535,504
  5. Step 5: Solve for x
    x = 59,171,535,504/110,856
  6. Step 6: Final answer
    x = 533,769.35

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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.