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Finding the Third Proportional to 108,754 and 240,838

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Solution

The third proportional to 108,754 and 240,838 is: 533,340.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,754 : 240,838 = 240,838 : x
  2. Step 2: Convert to fraction form
    108,754/240,838 = 240,838/x
  3. Step 3: Cross multiply
    108,754x = 240,838 × 240,838
  4. Step 4: Simplify right side
    108,754x = 58,002,942,244
  5. Step 5: Solve for x
    x = 58,002,942,244/108,754
  6. Step 6: Final answer
    x = 533,340.77

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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.