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Finding the Third Proportional to 154,562 and 325,729

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Solution

The third proportional to 154,562 and 325,729 is: 686,451.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,562 : 325,729 = 325,729 : x
  2. Step 2: Convert to fraction form
    154,562/325,729 = 325,729/x
  3. Step 3: Cross multiply
    154,562x = 325,729 × 325,729
  4. Step 4: Simplify right side
    154,562x = 106,099,381,441
  5. Step 5: Solve for x
    x = 106,099,381,441/154,562
  6. Step 6: Final answer
    x = 686,451.92

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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.