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Finding the Third Proportional to 159,535 and 246,995.50

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Solution

The third proportional to 159,535 and 246,995.50 is: 382,403.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,535 : 246,995.50 = 246,995.50 : x
  2. Step 2: Convert to fraction form
    159,535/246,995.50 = 246,995.50/x
  3. Step 3: Cross multiply
    159,535x = 246,995.50 × 246,995.50
  4. Step 4: Simplify right side
    159,535x = 61,006,777,020.25
  5. Step 5: Solve for x
    x = 61,006,777,020.25/159,535
  6. Step 6: Final answer
    x = 382,403.72

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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.