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Finding the Third Proportional to 168,061.50 and 364,378.50

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Solution

The third proportional to 168,061.50 and 364,378.50 is: 790,018.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,061.50 : 364,378.50 = 364,378.50 : x
  2. Step 2: Convert to fraction form
    168,061.50/364,378.50 = 364,378.50/x
  3. Step 3: Cross multiply
    168,061.50x = 364,378.50 × 364,378.50
  4. Step 4: Simplify right side
    168,061.50x = 132,771,691,262.25
  5. Step 5: Solve for x
    x = 132,771,691,262.25/168,061.50
  6. Step 6: Final answer
    x = 790,018.48

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.