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Finding the Third Proportional to 201,175 and 418,716

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Solution

The third proportional to 201,175 and 418,716 is: 871,495.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,175 : 418,716 = 418,716 : x
  2. Step 2: Convert to fraction form
    201,175/418,716 = 418,716/x
  3. Step 3: Cross multiply
    201,175x = 418,716 × 418,716
  4. Step 4: Simplify right side
    201,175x = 175,323,088,656
  5. Step 5: Solve for x
    x = 175,323,088,656/201,175
  6. Step 6: Final answer
    x = 871,495.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.