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Finding the Third Proportional to 154,542 and 325,963.50

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Solution

The third proportional to 154,542 and 325,963.50 is: 687,529.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,542 : 325,963.50 = 325,963.50 : x
  2. Step 2: Convert to fraction form
    154,542/325,963.50 = 325,963.50/x
  3. Step 3: Cross multiply
    154,542x = 325,963.50 × 325,963.50
  4. Step 4: Simplify right side
    154,542x = 106,252,203,332.25
  5. Step 5: Solve for x
    x = 106,252,203,332.25/154,542
  6. Step 6: Final answer
    x = 687,529.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.