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Finding the Third Proportional to 169,768.75 and 359,774.50

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Solution

The third proportional to 169,768.75 and 359,774.50 is: 762,435.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,768.75 : 359,774.50 = 359,774.50 : x
  2. Step 2: Convert to fraction form
    169,768.75/359,774.50 = 359,774.50/x
  3. Step 3: Cross multiply
    169,768.75x = 359,774.50 × 359,774.50
  4. Step 4: Simplify right side
    169,768.75x = 129,437,690,850.25
  5. Step 5: Solve for x
    x = 129,437,690,850.25/169,768.75
  6. Step 6: Final answer
    x = 762,435.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.