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Finding the Third Proportional to 86,464 and 201,956

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Solution

The third proportional to 86,464 and 201,956 is: 471,713.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,464 : 201,956 = 201,956 : x
  2. Step 2: Convert to fraction form
    86,464/201,956 = 201,956/x
  3. Step 3: Cross multiply
    86,464x = 201,956 × 201,956
  4. Step 4: Simplify right side
    86,464x = 40,786,225,936
  5. Step 5: Solve for x
    x = 40,786,225,936/86,464
  6. Step 6: Final answer
    x = 471,713.38

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.