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Finding the Third Proportional to 243,764 and 372,126

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Solution

The third proportional to 243,764 and 372,126 is: 568,081.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,764 : 372,126 = 372,126 : x
  2. Step 2: Convert to fraction form
    243,764/372,126 = 372,126/x
  3. Step 3: Cross multiply
    243,764x = 372,126 × 372,126
  4. Step 4: Simplify right side
    243,764x = 138,477,759,876
  5. Step 5: Solve for x
    x = 138,477,759,876/243,764
  6. Step 6: Final answer
    x = 568,081.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.