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Finding the Third Proportional to 125,328.52 and 260,983.69

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Solution

The third proportional to 125,328.52 and 260,983.69 is: 543,471.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,328.52 : 260,983.69 = 260,983.69 : x
  2. Step 2: Convert to fraction form
    125,328.52/260,983.69 = 260,983.69/x
  3. Step 3: Cross multiply
    125,328.52x = 260,983.69 × 260,983.69
  4. Step 4: Simplify right side
    125,328.52x = 68,112,485,141.10
  5. Step 5: Solve for x
    x = 68,112,485,141.10/125,328.52
  6. Step 6: Final answer
    x = 543,471.57

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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.