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Finding the Third Proportional to 127,504 and 260,640

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Solution

The third proportional to 127,504 and 260,640 is: 532,792.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,504 : 260,640 = 260,640 : x
  2. Step 2: Convert to fraction form
    127,504/260,640 = 260,640/x
  3. Step 3: Cross multiply
    127,504x = 260,640 × 260,640
  4. Step 4: Simplify right side
    127,504x = 67,933,209,600
  5. Step 5: Solve for x
    x = 67,933,209,600/127,504
  6. Step 6: Final answer
    x = 532,792.77

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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.