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Finding the Third Proportional to 201,671 and 266,202.50

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Solution

The third proportional to 201,671 and 266,202.50 is: 351,383.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,671 : 266,202.50 = 266,202.50 : x
  2. Step 2: Convert to fraction form
    201,671/266,202.50 = 266,202.50/x
  3. Step 3: Cross multiply
    201,671x = 266,202.50 × 266,202.50
  4. Step 4: Simplify right side
    201,671x = 70,863,771,006.25
  5. Step 5: Solve for x
    x = 70,863,771,006.25/201,671
  6. Step 6: Final answer
    x = 351,383.05

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.