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Finding the Third Proportional to 88,825 and 190,317

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Solution

The third proportional to 88,825 and 190,317 is: 407,774.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,825 : 190,317 = 190,317 : x
  2. Step 2: Convert to fraction form
    88,825/190,317 = 190,317/x
  3. Step 3: Cross multiply
    88,825x = 190,317 × 190,317
  4. Step 4: Simplify right side
    88,825x = 36,220,560,489
  5. Step 5: Solve for x
    x = 36,220,560,489/88,825
  6. Step 6: Final answer
    x = 407,774.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.