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Finding the Third Proportional to 154,543 and 325,690.75

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Solution

The third proportional to 154,543 and 325,690.75 is: 686,375.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,543 : 325,690.75 = 325,690.75 : x
  2. Step 2: Convert to fraction form
    154,543/325,690.75 = 325,690.75/x
  3. Step 3: Cross multiply
    154,543x = 325,690.75 × 325,690.75
  4. Step 4: Simplify right side
    154,543x = 106,074,464,635.56
  5. Step 5: Solve for x
    x = 106,074,464,635.56/154,543
  6. Step 6: Final answer
    x = 686,375.08

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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.