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Finding the Third Proportional to 134,119 and 291,305

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Solution

The third proportional to 134,119 and 291,305 is: 632,711.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,119 : 291,305 = 291,305 : x
  2. Step 2: Convert to fraction form
    134,119/291,305 = 291,305/x
  3. Step 3: Cross multiply
    134,119x = 291,305 × 291,305
  4. Step 4: Simplify right side
    134,119x = 84,858,603,025
  5. Step 5: Solve for x
    x = 84,858,603,025/134,119
  6. Step 6: Final answer
    x = 632,711.27

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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.