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Finding the Third Proportional to 144,388 and 222,221

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Solution

The third proportional to 144,388 and 222,221 is: 342,010.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,388 : 222,221 = 222,221 : x
  2. Step 2: Convert to fraction form
    144,388/222,221 = 222,221/x
  3. Step 3: Cross multiply
    144,388x = 222,221 × 222,221
  4. Step 4: Simplify right side
    144,388x = 49,382,172,841
  5. Step 5: Solve for x
    x = 49,382,172,841/144,388
  6. Step 6: Final answer
    x = 342,010.23

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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.