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Finding the Third Proportional to 133,063 and 290,789

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Solution

The third proportional to 133,063 and 290,789 is: 635,475.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,063 : 290,789 = 290,789 : x
  2. Step 2: Convert to fraction form
    133,063/290,789 = 290,789/x
  3. Step 3: Cross multiply
    133,063x = 290,789 × 290,789
  4. Step 4: Simplify right side
    133,063x = 84,558,242,521
  5. Step 5: Solve for x
    x = 84,558,242,521/133,063
  6. Step 6: Final answer
    x = 635,475.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.