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Finding the Third Proportional to 201,160 and 418,855

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Solution

The third proportional to 201,160 and 418,855 is: 872,139.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,160 : 418,855 = 418,855 : x
  2. Step 2: Convert to fraction form
    201,160/418,855 = 418,855/x
  3. Step 3: Cross multiply
    201,160x = 418,855 × 418,855
  4. Step 4: Simplify right side
    201,160x = 175,439,511,025
  5. Step 5: Solve for x
    x = 175,439,511,025/201,160
  6. Step 6: Final answer
    x = 872,139.15

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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.