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Finding the Third Proportional to 150,690 and 322,352

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Solution

The third proportional to 150,690 and 322,352 is: 689,566.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,690 : 322,352 = 322,352 : x
  2. Step 2: Convert to fraction form
    150,690/322,352 = 322,352/x
  3. Step 3: Cross multiply
    150,690x = 322,352 × 322,352
  4. Step 4: Simplify right side
    150,690x = 103,910,811,904
  5. Step 5: Solve for x
    x = 103,910,811,904/150,690
  6. Step 6: Final answer
    x = 689,566.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.