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Finding the Third Proportional to 158,555.25 and 245,556

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Solution

The third proportional to 158,555.25 and 245,556 is: 380,294.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,555.25 : 245,556 = 245,556 : x
  2. Step 2: Convert to fraction form
    158,555.25/245,556 = 245,556/x
  3. Step 3: Cross multiply
    158,555.25x = 245,556 × 245,556
  4. Step 4: Simplify right side
    158,555.25x = 60,297,749,136
  5. Step 5: Solve for x
    x = 60,297,749,136/158,555.25
  6. Step 6: Final answer
    x = 380,294.88

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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.