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Finding the Third Proportional to 154,147.19 and 336,306.78

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Solution

The third proportional to 154,147.19 and 336,306.78 is: 733,728.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,147.19 : 336,306.78 = 336,306.78 : x
  2. Step 2: Convert to fraction form
    154,147.19/336,306.78 = 336,306.78/x
  3. Step 3: Cross multiply
    154,147.19x = 336,306.78 × 336,306.78
  4. Step 4: Simplify right side
    154,147.19x = 113,102,249,801.04
  5. Step 5: Solve for x
    x = 113,102,249,801.04/154,147.19
  6. Step 6: Final answer
    x = 733,728.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.