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Finding the Third Proportional to 159,948 and 347,017.50

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Solution

The third proportional to 159,948 and 347,017.50 is: 752,876.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,948 : 347,017.50 = 347,017.50 : x
  2. Step 2: Convert to fraction form
    159,948/347,017.50 = 347,017.50/x
  3. Step 3: Cross multiply
    159,948x = 347,017.50 × 347,017.50
  4. Step 4: Simplify right side
    159,948x = 120,421,145,306.25
  5. Step 5: Solve for x
    x = 120,421,145,306.25/159,948
  6. Step 6: Final answer
    x = 752,876.84

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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.