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Finding the Third Proportional to 148,382.50 and 328,787

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Solution

The third proportional to 148,382.50 and 328,787 is: 728,528.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,382.50 : 328,787 = 328,787 : x
  2. Step 2: Convert to fraction form
    148,382.50/328,787 = 328,787/x
  3. Step 3: Cross multiply
    148,382.50x = 328,787 × 328,787
  4. Step 4: Simplify right side
    148,382.50x = 108,100,891,369
  5. Step 5: Solve for x
    x = 108,100,891,369/148,382.50
  6. Step 6: Final answer
    x = 728,528.58

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.