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Finding the Third Proportional to 153,914 and 222,715

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Solution

The third proportional to 153,914 and 222,715 is: 322,270.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,914 : 222,715 = 222,715 : x
  2. Step 2: Convert to fraction form
    153,914/222,715 = 222,715/x
  3. Step 3: Cross multiply
    153,914x = 222,715 × 222,715
  4. Step 4: Simplify right side
    153,914x = 49,601,971,225
  5. Step 5: Solve for x
    x = 49,601,971,225/153,914
  6. Step 6: Final answer
    x = 322,270.69

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.