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Finding the Third Proportional to 159,535.50 and 246,995.63

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Solution

The third proportional to 159,535.50 and 246,995.63 is: 382,402.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,535.50 : 246,995.63 = 246,995.63 : x
  2. Step 2: Convert to fraction form
    159,535.50/246,995.63 = 246,995.63/x
  3. Step 3: Cross multiply
    159,535.50x = 246,995.63 × 246,995.63
  4. Step 4: Simplify right side
    159,535.50x = 61,006,838,769.14
  5. Step 5: Solve for x
    x = 61,006,838,769.14/159,535.50
  6. Step 6: Final answer
    x = 382,402.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.