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Finding the Third Proportional to 133,033 and 289,030

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Solution

The third proportional to 133,033 and 289,030 is: 627,952.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,033 : 289,030 = 289,030 : x
  2. Step 2: Convert to fraction form
    133,033/289,030 = 289,030/x
  3. Step 3: Cross multiply
    133,033x = 289,030 × 289,030
  4. Step 4: Simplify right side
    133,033x = 83,538,340,900
  5. Step 5: Solve for x
    x = 83,538,340,900/133,033
  6. Step 6: Final answer
    x = 627,952.02

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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.