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Finding the Third Proportional to 122,294.25 and 268,645.50

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Solution

The third proportional to 122,294.25 and 268,645.50 is: 590,137.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,294.25 : 268,645.50 = 268,645.50 : x
  2. Step 2: Convert to fraction form
    122,294.25/268,645.50 = 268,645.50/x
  3. Step 3: Cross multiply
    122,294.25x = 268,645.50 × 268,645.50
  4. Step 4: Simplify right side
    122,294.25x = 72,170,404,670.25
  5. Step 5: Solve for x
    x = 72,170,404,670.25/122,294.25
  6. Step 6: Final answer
    x = 590,137.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.