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Finding the Third Proportional to 133,609.50 and 293,463

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Solution

The third proportional to 133,609.50 and 293,463 is: 644,568.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,609.50 : 293,463 = 293,463 : x
  2. Step 2: Convert to fraction form
    133,609.50/293,463 = 293,463/x
  3. Step 3: Cross multiply
    133,609.50x = 293,463 × 293,463
  4. Step 4: Simplify right side
    133,609.50x = 86,120,532,369
  5. Step 5: Solve for x
    x = 86,120,532,369/133,609.50
  6. Step 6: Final answer
    x = 644,568.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.