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Finding the Third Proportional to 153,910.13 and 222,709.50

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Solution

The third proportional to 153,910.13 and 222,709.50 is: 322,262.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,910.13 : 222,709.50 = 222,709.50 : x
  2. Step 2: Convert to fraction form
    153,910.13/222,709.50 = 222,709.50/x
  3. Step 3: Cross multiply
    153,910.13x = 222,709.50 × 222,709.50
  4. Step 4: Simplify right side
    153,910.13x = 49,599,521,390.25
  5. Step 5: Solve for x
    x = 49,599,521,390.25/153,910.13
  6. Step 6: Final answer
    x = 322,262.89

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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.