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Finding the Third Proportional to 122,451.75 and 266,773.50

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Solution

The third proportional to 122,451.75 and 266,773.50 is: 581,193.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,451.75 : 266,773.50 = 266,773.50 : x
  2. Step 2: Convert to fraction form
    122,451.75/266,773.50 = 266,773.50/x
  3. Step 3: Cross multiply
    122,451.75x = 266,773.50 × 266,773.50
  4. Step 4: Simplify right side
    122,451.75x = 71,168,100,302.25
  5. Step 5: Solve for x
    x = 71,168,100,302.25/122,451.75
  6. Step 6: Final answer
    x = 581,193.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.