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Finding the Third Proportional to 144,380 and 222,206

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Solution

The third proportional to 144,380 and 222,206 is: 341,983.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,380 : 222,206 = 222,206 : x
  2. Step 2: Convert to fraction form
    144,380/222,206 = 222,206/x
  3. Step 3: Cross multiply
    144,380x = 222,206 × 222,206
  4. Step 4: Simplify right side
    144,380x = 49,375,506,436
  5. Step 5: Solve for x
    x = 49,375,506,436/144,380
  6. Step 6: Final answer
    x = 341,983.01

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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.