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Finding the Third Proportional to 125,326.31 and 260,979.94

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Solution

The third proportional to 125,326.31 and 260,979.94 is: 543,465.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,326.31 : 260,979.94 = 260,979.94 : x
  2. Step 2: Convert to fraction form
    125,326.31/260,979.94 = 260,979.94/x
  3. Step 3: Cross multiply
    125,326.31x = 260,979.94 × 260,979.94
  4. Step 4: Simplify right side
    125,326.31x = 68,110,527,777.50
  5. Step 5: Solve for x
    x = 68,110,527,777.50/125,326.31
  6. Step 6: Final answer
    x = 543,465.51

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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.