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Finding the Third Proportional to 161,007.75 and 374,275.69

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Solution

The third proportional to 161,007.75 and 374,275.69 is: 870,034.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,007.75 : 374,275.69 = 374,275.69 : x
  2. Step 2: Convert to fraction form
    161,007.75/374,275.69 = 374,275.69/x
  3. Step 3: Cross multiply
    161,007.75x = 374,275.69 × 374,275.69
  4. Step 4: Simplify right side
    161,007.75x = 140,082,290,253.60
  5. Step 5: Solve for x
    x = 140,082,290,253.60/161,007.75
  6. Step 6: Final answer
    x = 870,034.46

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.