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Finding the Third Proportional to 122,907 and 260,214

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Solution

The third proportional to 122,907 and 260,214 is: 550,915.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,907 : 260,214 = 260,214 : x
  2. Step 2: Convert to fraction form
    122,907/260,214 = 260,214/x
  3. Step 3: Cross multiply
    122,907x = 260,214 × 260,214
  4. Step 4: Simplify right side
    122,907x = 67,711,325,796
  5. Step 5: Solve for x
    x = 67,711,325,796/122,907
  6. Step 6: Final answer
    x = 550,915.13

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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.