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Finding the Third Proportional to 154,644.19 and 328,834.69

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Solution

The third proportional to 154,644.19 and 328,834.69 is: 699,232.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,644.19 : 328,834.69 = 328,834.69 : x
  2. Step 2: Convert to fraction form
    154,644.19/328,834.69 = 328,834.69/x
  3. Step 3: Cross multiply
    154,644.19x = 328,834.69 × 328,834.69
  4. Step 4: Simplify right side
    154,644.19x = 108,132,251,703.22
  5. Step 5: Solve for x
    x = 108,132,251,703.22/154,644.19
  6. Step 6: Final answer
    x = 699,232.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.