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Finding the Third Proportional to 168,262.31 and 357,301.13

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Solution

The third proportional to 168,262.31 and 357,301.13 is: 758,720.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,262.31 : 357,301.13 = 357,301.13 : x
  2. Step 2: Convert to fraction form
    168,262.31/357,301.13 = 357,301.13/x
  3. Step 3: Cross multiply
    168,262.31x = 357,301.13 × 357,301.13
  4. Step 4: Simplify right side
    168,262.31x = 127,664,093,926.27
  5. Step 5: Solve for x
    x = 127,664,093,926.27/168,262.31
  6. Step 6: Final answer
    x = 758,720.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.