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Finding the Third Proportional to 161,097.61 and 318,132.56

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Solution

The third proportional to 161,097.61 and 318,132.56 is: 628,242.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,097.61 : 318,132.56 = 318,132.56 : x
  2. Step 2: Convert to fraction form
    161,097.61/318,132.56 = 318,132.56/x
  3. Step 3: Cross multiply
    161,097.61x = 318,132.56 × 318,132.56
  4. Step 4: Simplify right side
    161,097.61x = 101,208,327,322.82
  5. Step 5: Solve for x
    x = 101,208,327,322.82/161,097.61
  6. Step 6: Final answer
    x = 628,242.27

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.