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Finding the Third Proportional to 159,864 and 240,208

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Solution

The third proportional to 159,864 and 240,208 is: 360,931.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,864 : 240,208 = 240,208 : x
  2. Step 2: Convert to fraction form
    159,864/240,208 = 240,208/x
  3. Step 3: Cross multiply
    159,864x = 240,208 × 240,208
  4. Step 4: Simplify right side
    159,864x = 57,699,883,264
  5. Step 5: Solve for x
    x = 57,699,883,264/159,864
  6. Step 6: Final answer
    x = 360,931.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.