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Finding the Third Proportional to 221,822 and 341,301

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Solution

The third proportional to 221,822 and 341,301 is: 525,134.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,822 : 341,301 = 341,301 : x
  2. Step 2: Convert to fraction form
    221,822/341,301 = 341,301/x
  3. Step 3: Cross multiply
    221,822x = 341,301 × 341,301
  4. Step 4: Simplify right side
    221,822x = 116,486,372,601
  5. Step 5: Solve for x
    x = 116,486,372,601/221,822
  6. Step 6: Final answer
    x = 525,134.44

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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.