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Finding the Third Proportional to 229,537.13 and 322,667.44

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Solution

The third proportional to 229,537.13 and 322,667.44 is: 453,583.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,537.13 : 322,667.44 = 322,667.44 : x
  2. Step 2: Convert to fraction form
    229,537.13/322,667.44 = 322,667.44/x
  3. Step 3: Cross multiply
    229,537.13x = 322,667.44 × 322,667.44
  4. Step 4: Simplify right side
    229,537.13x = 104,114,275,222.82
  5. Step 5: Solve for x
    x = 104,114,275,222.82/229,537.13
  6. Step 6: Final answer
    x = 453,583.60

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.