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Finding the Third Proportional to 88,650 and 208,589

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Solution

The third proportional to 88,650 and 208,589 is: 490,799.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,650 : 208,589 = 208,589 : x
  2. Step 2: Convert to fraction form
    88,650/208,589 = 208,589/x
  3. Step 3: Cross multiply
    88,650x = 208,589 × 208,589
  4. Step 4: Simplify right side
    88,650x = 43,509,370,921
  5. Step 5: Solve for x
    x = 43,509,370,921/88,650
  6. Step 6: Final answer
    x = 490,799.45

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.