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Finding the Third Proportional to 201,164 and 418,862

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Solution

The third proportional to 201,164 and 418,862 is: 872,150.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,164 : 418,862 = 418,862 : x
  2. Step 2: Convert to fraction form
    201,164/418,862 = 418,862/x
  3. Step 3: Cross multiply
    201,164x = 418,862 × 418,862
  4. Step 4: Simplify right side
    201,164x = 175,445,375,044
  5. Step 5: Solve for x
    x = 175,445,375,044/201,164
  6. Step 6: Final answer
    x = 872,150.96

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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.