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Finding the Third Proportional to 115,533 and 253,719

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Solution

The third proportional to 115,533 and 253,719 is: 557,185.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,533 : 253,719 = 253,719 : x
  2. Step 2: Convert to fraction form
    115,533/253,719 = 253,719/x
  3. Step 3: Cross multiply
    115,533x = 253,719 × 253,719
  4. Step 4: Simplify right side
    115,533x = 64,373,330,961
  5. Step 5: Solve for x
    x = 64,373,330,961/115,533
  6. Step 6: Final answer
    x = 557,185.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.