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Finding the Third Proportional to 110,856 and 211,506

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Solution

The third proportional to 110,856 and 211,506 is: 403,539.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,856 : 211,506 = 211,506 : x
  2. Step 2: Convert to fraction form
    110,856/211,506 = 211,506/x
  3. Step 3: Cross multiply
    110,856x = 211,506 × 211,506
  4. Step 4: Simplify right side
    110,856x = 44,734,788,036
  5. Step 5: Solve for x
    x = 44,734,788,036/110,856
  6. Step 6: Final answer
    x = 403,539.62

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.