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Finding the Third Proportional to 201,538 and 301,253

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Solution

The third proportional to 201,538 and 301,253 is: 450,304.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,538 : 301,253 = 301,253 : x
  2. Step 2: Convert to fraction form
    201,538/301,253 = 301,253/x
  3. Step 3: Cross multiply
    201,538x = 301,253 × 301,253
  4. Step 4: Simplify right side
    201,538x = 90,753,370,009
  5. Step 5: Solve for x
    x = 90,753,370,009/201,538
  6. Step 6: Final answer
    x = 450,304.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.