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Finding the Third Proportional to 214,306.11 and 293,872.05

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Solution

The third proportional to 214,306.11 and 293,872.05 is: 402,978.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,306.11 : 293,872.05 = 293,872.05 : x
  2. Step 2: Convert to fraction form
    214,306.11/293,872.05 = 293,872.05/x
  3. Step 3: Cross multiply
    214,306.11x = 293,872.05 × 293,872.05
  4. Step 4: Simplify right side
    214,306.11x = 86,360,782,642.92
  5. Step 5: Solve for x
    x = 86,360,782,642.92/214,306.11
  6. Step 6: Final answer
    x = 402,978.63

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.