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Finding the Third Proportional to 122,708.25 and 260,246.25

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Solution

The third proportional to 122,708.25 and 260,246.25 is: 551,944.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,708.25 : 260,246.25 = 260,246.25 : x
  2. Step 2: Convert to fraction form
    122,708.25/260,246.25 = 260,246.25/x
  3. Step 3: Cross multiply
    122,708.25x = 260,246.25 × 260,246.25
  4. Step 4: Simplify right side
    122,708.25x = 67,728,110,639.06
  5. Step 5: Solve for x
    x = 67,728,110,639.06/122,708.25
  6. Step 6: Final answer
    x = 551,944.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.