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Finding the Third Proportional to 217,896 and 295,716

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Solution

The third proportional to 217,896 and 295,716 is: 401,328.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,896 : 295,716 = 295,716 : x
  2. Step 2: Convert to fraction form
    217,896/295,716 = 295,716/x
  3. Step 3: Cross multiply
    217,896x = 295,716 × 295,716
  4. Step 4: Simplify right side
    217,896x = 87,447,952,656
  5. Step 5: Solve for x
    x = 87,447,952,656/217,896
  6. Step 6: Final answer
    x = 401,328.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.