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Finding the Third Proportional to 152,150.25 and 328,357.50

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Solution

The third proportional to 152,150.25 and 328,357.50 is: 708,632.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,150.25 : 328,357.50 = 328,357.50 : x
  2. Step 2: Convert to fraction form
    152,150.25/328,357.50 = 328,357.50/x
  3. Step 3: Cross multiply
    152,150.25x = 328,357.50 × 328,357.50
  4. Step 4: Simplify right side
    152,150.25x = 107,818,647,806.25
  5. Step 5: Solve for x
    x = 107,818,647,806.25/152,150.25
  6. Step 6: Final answer
    x = 708,632.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.