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Finding the Third Proportional to 132,301 and 285,823

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Solution

The third proportional to 132,301 and 285,823 is: 617,491.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,301 : 285,823 = 285,823 : x
  2. Step 2: Convert to fraction form
    132,301/285,823 = 285,823/x
  3. Step 3: Cross multiply
    132,301x = 285,823 × 285,823
  4. Step 4: Simplify right side
    132,301x = 81,694,787,329
  5. Step 5: Solve for x
    x = 81,694,787,329/132,301
  6. Step 6: Final answer
    x = 617,491.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.