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Finding the Third Proportional to 144,550 and 222,461

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Solution

The third proportional to 144,550 and 222,461 is: 342,365.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,550 : 222,461 = 222,461 : x
  2. Step 2: Convert to fraction form
    144,550/222,461 = 222,461/x
  3. Step 3: Cross multiply
    144,550x = 222,461 × 222,461
  4. Step 4: Simplify right side
    144,550x = 49,488,896,521
  5. Step 5: Solve for x
    x = 49,488,896,521/144,550
  6. Step 6: Final answer
    x = 342,365.25

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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.