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Finding the Third Proportional to 110,871 and 243,214

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Solution

The third proportional to 110,871 and 243,214 is: 533,530.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,871 : 243,214 = 243,214 : x
  2. Step 2: Convert to fraction form
    110,871/243,214 = 243,214/x
  3. Step 3: Cross multiply
    110,871x = 243,214 × 243,214
  4. Step 4: Simplify right side
    110,871x = 59,153,049,796
  5. Step 5: Solve for x
    x = 59,153,049,796/110,871
  6. Step 6: Final answer
    x = 533,530.41

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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.