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Finding the Third Proportional to 122,353.50 and 268,807.50

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Solution

The third proportional to 122,353.50 and 268,807.50 is: 590,563.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,353.50 : 268,807.50 = 268,807.50 : x
  2. Step 2: Convert to fraction form
    122,353.50/268,807.50 = 268,807.50/x
  3. Step 3: Cross multiply
    122,353.50x = 268,807.50 × 268,807.50
  4. Step 4: Simplify right side
    122,353.50x = 72,257,472,056.25
  5. Step 5: Solve for x
    x = 72,257,472,056.25/122,353.50
  6. Step 6: Final answer
    x = 590,563.18

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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.