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Finding the Third Proportional to 247,871 and 535,105

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Solution

The third proportional to 247,871 and 535,105 is: 1,155,187.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,871 : 535,105 = 535,105 : x
  2. Step 2: Convert to fraction form
    247,871/535,105 = 535,105/x
  3. Step 3: Cross multiply
    247,871x = 535,105 × 535,105
  4. Step 4: Simplify right side
    247,871x = 286,337,361,025
  5. Step 5: Solve for x
    x = 286,337,361,025/247,871
  6. Step 6: Final answer
    x = 1,155,187.02

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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.