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Finding the Third Proportional to 169,768.50 and 359,774.25

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Solution

The third proportional to 169,768.50 and 359,774.25 is: 762,435.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,768.50 : 359,774.25 = 359,774.25 : x
  2. Step 2: Convert to fraction form
    169,768.50/359,774.25 = 359,774.25/x
  3. Step 3: Cross multiply
    169,768.50x = 359,774.25 × 359,774.25
  4. Step 4: Simplify right side
    169,768.50x = 129,437,510,963.06
  5. Step 5: Solve for x
    x = 129,437,510,963.06/169,768.50
  6. Step 6: Final answer
    x = 762,435.38

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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.