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Finding the Third Proportional to 133,956 and 291,024

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Solution

The third proportional to 133,956 and 291,024 is: 632,259.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,956 : 291,024 = 291,024 : x
  2. Step 2: Convert to fraction form
    133,956/291,024 = 291,024/x
  3. Step 3: Cross multiply
    133,956x = 291,024 × 291,024
  4. Step 4: Simplify right side
    133,956x = 84,694,968,576
  5. Step 5: Solve for x
    x = 84,694,968,576/133,956
  6. Step 6: Final answer
    x = 632,259.61

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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.