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Finding the Third Proportional to 133,578 and 272,607

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Solution

The third proportional to 133,578 and 272,607 is: 556,338.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,578 : 272,607 = 272,607 : x
  2. Step 2: Convert to fraction form
    133,578/272,607 = 272,607/x
  3. Step 3: Cross multiply
    133,578x = 272,607 × 272,607
  4. Step 4: Simplify right side
    133,578x = 74,314,576,449
  5. Step 5: Solve for x
    x = 74,314,576,449/133,578
  6. Step 6: Final answer
    x = 556,338.44

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.