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Finding the Third Proportional to 154,866.94 and 328,346.16

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Solution

The third proportional to 154,866.94 and 328,346.16 is: 696,153.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,866.94 : 328,346.16 = 328,346.16 : x
  2. Step 2: Convert to fraction form
    154,866.94/328,346.16 = 328,346.16/x
  3. Step 3: Cross multiply
    154,866.94x = 328,346.16 × 328,346.16
  4. Step 4: Simplify right side
    154,866.94x = 107,811,198,324.15
  5. Step 5: Solve for x
    x = 107,811,198,324.15/154,866.94
  6. Step 6: Final answer
    x = 696,153.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.