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Finding the Third Proportional to 157,868 and 330,328

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Solution

The third proportional to 157,868 and 330,328 is: 691,188.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,868 : 330,328 = 330,328 : x
  2. Step 2: Convert to fraction form
    157,868/330,328 = 330,328/x
  3. Step 3: Cross multiply
    157,868x = 330,328 × 330,328
  4. Step 4: Simplify right side
    157,868x = 109,116,587,584
  5. Step 5: Solve for x
    x = 109,116,587,584/157,868
  6. Step 6: Final answer
    x = 691,188.76

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.