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Finding the Third Proportional to 158,845 and 349,280

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Solution

The third proportional to 158,845 and 349,280 is: 768,022.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,845 : 349,280 = 349,280 : x
  2. Step 2: Convert to fraction form
    158,845/349,280 = 349,280/x
  3. Step 3: Cross multiply
    158,845x = 349,280 × 349,280
  4. Step 4: Simplify right side
    158,845x = 121,996,518,400
  5. Step 5: Solve for x
    x = 121,996,518,400/158,845
  6. Step 6: Final answer
    x = 768,022.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.