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Finding the Third Proportional to 144,510.75 and 222,294.38

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Solution

The third proportional to 144,510.75 and 222,294.38 is: 341,945.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,510.75 : 222,294.38 = 222,294.38 : x
  2. Step 2: Convert to fraction form
    144,510.75/222,294.38 = 222,294.38/x
  3. Step 3: Cross multiply
    144,510.75x = 222,294.38 × 222,294.38
  4. Step 4: Simplify right side
    144,510.75x = 49,414,789,156.64
  5. Step 5: Solve for x
    x = 49,414,789,156.64/144,510.75
  6. Step 6: Final answer
    x = 341,945.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.