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Finding the Third Proportional to 160,819.17 and 349,650.74

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Solution

The third proportional to 160,819.17 and 349,650.74 is: 760,205.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,819.17 : 349,650.74 = 349,650.74 : x
  2. Step 2: Convert to fraction form
    160,819.17/349,650.74 = 349,650.74/x
  3. Step 3: Cross multiply
    160,819.17x = 349,650.74 × 349,650.74
  4. Step 4: Simplify right side
    160,819.17x = 122,255,638,780.62
  5. Step 5: Solve for x
    x = 122,255,638,780.62/160,819.17
  6. Step 6: Final answer
    x = 760,205.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.