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Finding the Third Proportional to 144,632 and 222,455

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Solution

The third proportional to 144,632 and 222,455 is: 342,152.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,632 : 222,455 = 222,455 : x
  2. Step 2: Convert to fraction form
    144,632/222,455 = 222,455/x
  3. Step 3: Cross multiply
    144,632x = 222,455 × 222,455
  4. Step 4: Simplify right side
    144,632x = 49,486,227,025
  5. Step 5: Solve for x
    x = 49,486,227,025/144,632
  6. Step 6: Final answer
    x = 342,152.68

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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.