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Finding the Third Proportional to 133,033 and 289,031

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Solution

The third proportional to 133,033 and 289,031 is: 627,956.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,033 : 289,031 = 289,031 : x
  2. Step 2: Convert to fraction form
    133,033/289,031 = 289,031/x
  3. Step 3: Cross multiply
    133,033x = 289,031 × 289,031
  4. Step 4: Simplify right side
    133,033x = 83,538,918,961
  5. Step 5: Solve for x
    x = 83,538,918,961/133,033
  6. Step 6: Final answer
    x = 627,956.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.