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Finding the Third Proportional to 152,451 and 223,141.50

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Solution

The third proportional to 152,451 and 223,141.50 is: 326,610.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,451 : 223,141.50 = 223,141.50 : x
  2. Step 2: Convert to fraction form
    152,451/223,141.50 = 223,141.50/x
  3. Step 3: Cross multiply
    152,451x = 223,141.50 × 223,141.50
  4. Step 4: Simplify right side
    152,451x = 49,792,129,022.25
  5. Step 5: Solve for x
    x = 49,792,129,022.25/152,451
  6. Step 6: Final answer
    x = 326,610.71

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.