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Finding the Third Proportional to 159,701 and 239,556

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Solution

The third proportional to 159,701 and 239,556 is: 359,340.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,701 : 239,556 = 239,556 : x
  2. Step 2: Convert to fraction form
    159,701/239,556 = 239,556/x
  3. Step 3: Cross multiply
    159,701x = 239,556 × 239,556
  4. Step 4: Simplify right side
    159,701x = 57,387,077,136
  5. Step 5: Solve for x
    x = 57,387,077,136/159,701
  6. Step 6: Final answer
    x = 359,340.75

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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.