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Finding the Third Proportional to 151,236 and 325,584

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Solution

The third proportional to 151,236 and 325,584 is: 700,923.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,236 : 325,584 = 325,584 : x
  2. Step 2: Convert to fraction form
    151,236/325,584 = 325,584/x
  3. Step 3: Cross multiply
    151,236x = 325,584 × 325,584
  4. Step 4: Simplify right side
    151,236x = 106,004,941,056
  5. Step 5: Solve for x
    x = 106,004,941,056/151,236
  6. Step 6: Final answer
    x = 700,923.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.