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Finding the Third Proportional to 201,567 and 291,372

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Solution

The third proportional to 201,567 and 291,372 is: 421,188.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,567 : 291,372 = 291,372 : x
  2. Step 2: Convert to fraction form
    201,567/291,372 = 291,372/x
  3. Step 3: Cross multiply
    201,567x = 291,372 × 291,372
  4. Step 4: Simplify right side
    201,567x = 84,897,642,384
  5. Step 5: Solve for x
    x = 84,897,642,384/201,567
  6. Step 6: Final answer
    x = 421,188.20

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.