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Finding the Third Proportional to 159,864 and 324,210

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Solution

The third proportional to 159,864 and 324,210 is: 657,509.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,864 : 324,210 = 324,210 : x
  2. Step 2: Convert to fraction form
    159,864/324,210 = 324,210/x
  3. Step 3: Cross multiply
    159,864x = 324,210 × 324,210
  4. Step 4: Simplify right side
    159,864x = 105,112,124,100
  5. Step 5: Solve for x
    x = 105,112,124,100/159,864
  6. Step 6: Final answer
    x = 657,509.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.