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Finding the Third Proportional to 104,580 and 214,719.75

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Solution

The third proportional to 104,580 and 214,719.75 is: 440,854.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,580 : 214,719.75 = 214,719.75 : x
  2. Step 2: Convert to fraction form
    104,580/214,719.75 = 214,719.75/x
  3. Step 3: Cross multiply
    104,580x = 214,719.75 × 214,719.75
  4. Step 4: Simplify right side
    104,580x = 46,104,571,040.06
  5. Step 5: Solve for x
    x = 46,104,571,040.06/104,580
  6. Step 6: Final answer
    x = 440,854.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.