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Finding the Third Proportional to 122,188.50 and 260,506.13

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Solution

The third proportional to 122,188.50 and 260,506.13 is: 555,399.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,188.50 : 260,506.13 = 260,506.13 : x
  2. Step 2: Convert to fraction form
    122,188.50/260,506.13 = 260,506.13/x
  3. Step 3: Cross multiply
    122,188.50x = 260,506.13 × 260,506.13
  4. Step 4: Simplify right side
    122,188.50x = 67,863,441,162.52
  5. Step 5: Solve for x
    x = 67,863,441,162.52/122,188.50
  6. Step 6: Final answer
    x = 555,399.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.