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Finding the Third Proportional to 159,165 and 248,434.50

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Solution

The third proportional to 159,165 and 248,434.50 is: 387,771.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,165 : 248,434.50 = 248,434.50 : x
  2. Step 2: Convert to fraction form
    159,165/248,434.50 = 248,434.50/x
  3. Step 3: Cross multiply
    159,165x = 248,434.50 × 248,434.50
  4. Step 4: Simplify right side
    159,165x = 61,719,700,790.25
  5. Step 5: Solve for x
    x = 61,719,700,790.25/159,165
  6. Step 6: Final answer
    x = 387,771.81

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.