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Finding the Third Proportional to 143,352 and 227,740.50

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Solution

The third proportional to 143,352 and 227,740.50 is: 361,806.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,352 : 227,740.50 = 227,740.50 : x
  2. Step 2: Convert to fraction form
    143,352/227,740.50 = 227,740.50/x
  3. Step 3: Cross multiply
    143,352x = 227,740.50 × 227,740.50
  4. Step 4: Simplify right side
    143,352x = 51,865,735,340.25
  5. Step 5: Solve for x
    x = 51,865,735,340.25/143,352
  6. Step 6: Final answer
    x = 361,806.85

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.