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Finding the Third Proportional to 264,207.38 and 409,190.06

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Solution

The third proportional to 264,207.38 and 409,190.06 is: 633,731.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,207.38 : 409,190.06 = 409,190.06 : x
  2. Step 2: Convert to fraction form
    264,207.38/409,190.06 = 409,190.06/x
  3. Step 3: Cross multiply
    264,207.38x = 409,190.06 × 409,190.06
  4. Step 4: Simplify right side
    264,207.38x = 167,436,507,248.75
  5. Step 5: Solve for x
    x = 167,436,507,248.75/264,207.38
  6. Step 6: Final answer
    x = 633,731.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.