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Finding the Third Proportional to 108,758 and 240,844

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Solution

The third proportional to 108,758 and 240,844 is: 533,347.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,758 : 240,844 = 240,844 : x
  2. Step 2: Convert to fraction form
    108,758/240,844 = 240,844/x
  3. Step 3: Cross multiply
    108,758x = 240,844 × 240,844
  4. Step 4: Simplify right side
    108,758x = 58,005,832,336
  5. Step 5: Solve for x
    x = 58,005,832,336/108,758
  6. Step 6: Final answer
    x = 533,347.73

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.