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Finding the Third Proportional to 134,896.75 and 291,407

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Solution

The third proportional to 134,896.75 and 291,407 is: 629,503.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,896.75 : 291,407 = 291,407 : x
  2. Step 2: Convert to fraction form
    134,896.75/291,407 = 291,407/x
  3. Step 3: Cross multiply
    134,896.75x = 291,407 × 291,407
  4. Step 4: Simplify right side
    134,896.75x = 84,918,039,649
  5. Step 5: Solve for x
    x = 84,918,039,649/134,896.75
  6. Step 6: Final answer
    x = 629,503.97

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Why These Related Problems?

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