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Finding the Third Proportional to 125,325.42 and 260,978.20

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Solution

The third proportional to 125,325.42 and 260,978.20 is: 543,462.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,325.42 : 260,978.20 = 260,978.20 : x
  2. Step 2: Convert to fraction form
    125,325.42/260,978.20 = 260,978.20/x
  3. Step 3: Cross multiply
    125,325.42x = 260,978.20 × 260,978.20
  4. Step 4: Simplify right side
    125,325.42x = 68,109,622,506.35
  5. Step 5: Solve for x
    x = 68,109,622,506.35/125,325.42
  6. Step 6: Final answer
    x = 543,462.14

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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.