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Finding the Third Proportional to 169,358.25 and 365,153.25

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Solution

The third proportional to 169,358.25 and 365,153.25 is: 787,306.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,358.25 : 365,153.25 = 365,153.25 : x
  2. Step 2: Convert to fraction form
    169,358.25/365,153.25 = 365,153.25/x
  3. Step 3: Cross multiply
    169,358.25x = 365,153.25 × 365,153.25
  4. Step 4: Simplify right side
    169,358.25x = 133,336,895,985.56
  5. Step 5: Solve for x
    x = 133,336,895,985.56/169,358.25
  6. Step 6: Final answer
    x = 787,306.77

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.