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Finding the Third Proportional to 158,616 and 255,012

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Solution

The third proportional to 158,616 and 255,012 is: 409,990.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,616 : 255,012 = 255,012 : x
  2. Step 2: Convert to fraction form
    158,616/255,012 = 255,012/x
  3. Step 3: Cross multiply
    158,616x = 255,012 × 255,012
  4. Step 4: Simplify right side
    158,616x = 65,031,120,144
  5. Step 5: Solve for x
    x = 65,031,120,144/158,616
  6. Step 6: Final answer
    x = 409,990.92

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.