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Finding the Third Proportional to 158,329 and 247,861.50

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Solution

The third proportional to 158,329 and 247,861.50 is: 388,023.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,329 : 247,861.50 = 247,861.50 : x
  2. Step 2: Convert to fraction form
    158,329/247,861.50 = 247,861.50/x
  3. Step 3: Cross multiply
    158,329x = 247,861.50 × 247,861.50
  4. Step 4: Simplify right side
    158,329x = 61,435,323,182.25
  5. Step 5: Solve for x
    x = 61,435,323,182.25/158,329
  6. Step 6: Final answer
    x = 388,023.19

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.