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Finding the Third Proportional to 179,344 and 285,416

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Solution

The third proportional to 179,344 and 285,416 is: 454,223.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,344 : 285,416 = 285,416 : x
  2. Step 2: Convert to fraction form
    179,344/285,416 = 285,416/x
  3. Step 3: Cross multiply
    179,344x = 285,416 × 285,416
  4. Step 4: Simplify right side
    179,344x = 81,462,293,056
  5. Step 5: Solve for x
    x = 81,462,293,056/179,344
  6. Step 6: Final answer
    x = 454,223.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.