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Finding the Third Proportional to 133,795 and 289,643

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Solution

The third proportional to 133,795 and 289,643 is: 627,026.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,795 : 289,643 = 289,643 : x
  2. Step 2: Convert to fraction form
    133,795/289,643 = 289,643/x
  3. Step 3: Cross multiply
    133,795x = 289,643 × 289,643
  4. Step 4: Simplify right side
    133,795x = 83,893,067,449
  5. Step 5: Solve for x
    x = 83,893,067,449/133,795
  6. Step 6: Final answer
    x = 627,026.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.