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Finding the Third Proportional to 201,467 and 272,614

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Solution

The third proportional to 201,467 and 272,614 is: 368,886.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,467 : 272,614 = 272,614 : x
  2. Step 2: Convert to fraction form
    201,467/272,614 = 272,614/x
  3. Step 3: Cross multiply
    201,467x = 272,614 × 272,614
  4. Step 4: Simplify right side
    201,467x = 74,318,392,996
  5. Step 5: Solve for x
    x = 74,318,392,996/201,467
  6. Step 6: Final answer
    x = 368,886.18

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.