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Finding the Third Proportional to 125,330 and 260,987

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Solution

The third proportional to 125,330 and 260,987 is: 543,478.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,330 : 260,987 = 260,987 : x
  2. Step 2: Convert to fraction form
    125,330/260,987 = 260,987/x
  3. Step 3: Cross multiply
    125,330x = 260,987 × 260,987
  4. Step 4: Simplify right side
    125,330x = 68,114,214,169
  5. Step 5: Solve for x
    x = 68,114,214,169/125,330
  6. Step 6: Final answer
    x = 543,478.93

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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.