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Finding the Third Proportional to 125,325.84 and 260,979.19

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Solution

The third proportional to 125,325.84 and 260,979.19 is: 543,464.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,325.84 : 260,979.19 = 260,979.19 : x
  2. Step 2: Convert to fraction form
    125,325.84/260,979.19 = 260,979.19/x
  3. Step 3: Cross multiply
    125,325.84x = 260,979.19 × 260,979.19
  4. Step 4: Simplify right side
    125,325.84x = 68,110,136,308.16
  5. Step 5: Solve for x
    x = 68,110,136,308.16/125,325.84
  6. Step 6: Final answer
    x = 543,464.41

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