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Finding the Third Proportional to 116,415.75 and 255,693

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Solution

The third proportional to 116,415.75 and 255,693 is: 561,598.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,415.75 : 255,693 = 255,693 : x
  2. Step 2: Convert to fraction form
    116,415.75/255,693 = 255,693/x
  3. Step 3: Cross multiply
    116,415.75x = 255,693 × 255,693
  4. Step 4: Simplify right side
    116,415.75x = 65,378,910,249
  5. Step 5: Solve for x
    x = 65,378,910,249/116,415.75
  6. Step 6: Final answer
    x = 561,598.50

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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.