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Finding the Third Proportional to 125,326.69 and 260,980.88

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Solution

The third proportional to 125,326.69 and 260,980.88 is: 543,467.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,326.69 : 260,980.88 = 260,980.88 : x
  2. Step 2: Convert to fraction form
    125,326.69/260,980.88 = 260,980.88/x
  3. Step 3: Cross multiply
    125,326.69x = 260,980.88 × 260,980.88
  4. Step 4: Simplify right side
    125,326.69x = 68,111,017,115.77
  5. Step 5: Solve for x
    x = 68,111,017,115.77/125,326.69
  6. Step 6: Final answer
    x = 543,467.78

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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.