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Finding the Third Proportional to 143,159 and 323,436

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Solution

The third proportional to 143,159 and 323,436 is: 730,731.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,159 : 323,436 = 323,436 : x
  2. Step 2: Convert to fraction form
    143,159/323,436 = 323,436/x
  3. Step 3: Cross multiply
    143,159x = 323,436 × 323,436
  4. Step 4: Simplify right side
    143,159x = 104,610,846,096
  5. Step 5: Solve for x
    x = 104,610,846,096/143,159
  6. Step 6: Final answer
    x = 730,731.89

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.