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Finding the Third Proportional to 125,327.84 and 260,983.19

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Solution

The third proportional to 125,327.84 and 260,983.19 is: 543,472.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,327.84 : 260,983.19 = 260,983.19 : x
  2. Step 2: Convert to fraction form
    125,327.84/260,983.19 = 260,983.19/x
  3. Step 3: Cross multiply
    125,327.84x = 260,983.19 × 260,983.19
  4. Step 4: Simplify right side
    125,327.84x = 68,112,224,157.66
  5. Step 5: Solve for x
    x = 68,112,224,157.66/125,327.84
  6. Step 6: Final answer
    x = 543,472.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.