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Finding the Third Proportional to 152,254 and 327,838

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Solution

The third proportional to 152,254 and 327,838 is: 705,910.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,254 : 327,838 = 327,838 : x
  2. Step 2: Convert to fraction form
    152,254/327,838 = 327,838/x
  3. Step 3: Cross multiply
    152,254x = 327,838 × 327,838
  4. Step 4: Simplify right side
    152,254x = 107,477,754,244
  5. Step 5: Solve for x
    x = 107,477,754,244/152,254
  6. Step 6: Final answer
    x = 705,910.87

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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.