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Finding the Third Proportional to 127,508 and 260,648

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Solution

The third proportional to 127,508 and 260,648 is: 532,808.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,508 : 260,648 = 260,648 : x
  2. Step 2: Convert to fraction form
    127,508/260,648 = 260,648/x
  3. Step 3: Cross multiply
    127,508x = 260,648 × 260,648
  4. Step 4: Simplify right side
    127,508x = 67,937,379,904
  5. Step 5: Solve for x
    x = 67,937,379,904/127,508
  6. Step 6: Final answer
    x = 532,808.76

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.