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Finding the Third Proportional to 124,290.50 and 266,974.50

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Solution

The third proportional to 124,290.50 and 266,974.50 is: 573,458.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,290.50 : 266,974.50 = 266,974.50 : x
  2. Step 2: Convert to fraction form
    124,290.50/266,974.50 = 266,974.50/x
  3. Step 3: Cross multiply
    124,290.50x = 266,974.50 × 266,974.50
  4. Step 4: Simplify right side
    124,290.50x = 71,275,383,650.25
  5. Step 5: Solve for x
    x = 71,275,383,650.25/124,290.50
  6. Step 6: Final answer
    x = 573,458.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.