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Finding the Third Proportional to 229,974.19 and 322,263.56

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Solution

The third proportional to 229,974.19 and 322,263.56 is: 451,588.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,974.19 : 322,263.56 = 322,263.56 : x
  2. Step 2: Convert to fraction form
    229,974.19/322,263.56 = 322,263.56/x
  3. Step 3: Cross multiply
    229,974.19x = 322,263.56 × 322,263.56
  4. Step 4: Simplify right side
    229,974.19x = 103,853,803,715.19
  5. Step 5: Solve for x
    x = 103,853,803,715.19/229,974.19
  6. Step 6: Final answer
    x = 451,588.96

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.