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Finding the Third Proportional to 133,033 and 289,029

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Solution

The third proportional to 133,033 and 289,029 is: 627,947.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,033 : 289,029 = 289,029 : x
  2. Step 2: Convert to fraction form
    133,033/289,029 = 289,029/x
  3. Step 3: Cross multiply
    133,033x = 289,029 × 289,029
  4. Step 4: Simplify right side
    133,033x = 83,537,762,841
  5. Step 5: Solve for x
    x = 83,537,762,841/133,033
  6. Step 6: Final answer
    x = 627,947.67

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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.