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Finding the Third Proportional to 108,726 and 239,526

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Solution

The third proportional to 108,726 and 239,526 is: 527,681.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,726 : 239,526 = 239,526 : x
  2. Step 2: Convert to fraction form
    108,726/239,526 = 239,526/x
  3. Step 3: Cross multiply
    108,726x = 239,526 × 239,526
  4. Step 4: Simplify right side
    108,726x = 57,372,704,676
  5. Step 5: Solve for x
    x = 57,372,704,676/108,726
  6. Step 6: Final answer
    x = 527,681.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.