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Finding the Third Proportional to 159,290 and 349,168

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Solution

The third proportional to 159,290 and 349,168 is: 765,385.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,290 : 349,168 = 349,168 : x
  2. Step 2: Convert to fraction form
    159,290/349,168 = 349,168/x
  3. Step 3: Cross multiply
    159,290x = 349,168 × 349,168
  4. Step 4: Simplify right side
    159,290x = 121,918,292,224
  5. Step 5: Solve for x
    x = 121,918,292,224/159,290
  6. Step 6: Final answer
    x = 765,385.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.