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Finding the Third Proportional to 133,029.38 and 289,022.25

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Solution

The third proportional to 133,029.38 and 289,022.25 is: 627,935.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,029.38 : 289,022.25 = 289,022.25 : x
  2. Step 2: Convert to fraction form
    133,029.38/289,022.25 = 289,022.25/x
  3. Step 3: Cross multiply
    133,029.38x = 289,022.25 × 289,022.25
  4. Step 4: Simplify right side
    133,029.38x = 83,533,860,995.06
  5. Step 5: Solve for x
    x = 83,533,860,995.06/133,029.38
  6. Step 6: Final answer
    x = 627,935.45

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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.