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Finding the Third Proportional to 154,806.19 and 233,767.69

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Solution

The third proportional to 154,806.19 and 233,767.69 is: 353,004.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,806.19 : 233,767.69 = 233,767.69 : x
  2. Step 2: Convert to fraction form
    154,806.19/233,767.69 = 233,767.69/x
  3. Step 3: Cross multiply
    154,806.19x = 233,767.69 × 233,767.69
  4. Step 4: Simplify right side
    154,806.19x = 54,647,331,719.10
  5. Step 5: Solve for x
    x = 54,647,331,719.10/154,806.19
  6. Step 6: Final answer
    x = 353,004.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.