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Finding the Third Proportional to 115,726 and 253,610

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Solution

The third proportional to 115,726 and 253,610 is: 555,778.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,726 : 253,610 = 253,610 : x
  2. Step 2: Convert to fraction form
    115,726/253,610 = 253,610/x
  3. Step 3: Cross multiply
    115,726x = 253,610 × 253,610
  4. Step 4: Simplify right side
    115,726x = 64,318,032,100
  5. Step 5: Solve for x
    x = 64,318,032,100/115,726
  6. Step 6: Final answer
    x = 555,778.58

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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.