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Finding the Third Proportional to 161,497.13 and 247,895.44

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Solution

The third proportional to 161,497.13 and 247,895.44 is: 380,515.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,497.13 : 247,895.44 = 247,895.44 : x
  2. Step 2: Convert to fraction form
    161,497.13/247,895.44 = 247,895.44/x
  3. Step 3: Cross multiply
    161,497.13x = 247,895.44 × 247,895.44
  4. Step 4: Simplify right side
    161,497.13x = 61,452,147,933.32
  5. Step 5: Solve for x
    x = 61,452,147,933.32/161,497.13
  6. Step 6: Final answer
    x = 380,515.43

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