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Finding the Third Proportional to 264,832.50 and 340,035

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Solution

The third proportional to 264,832.50 and 340,035 is: 436,592.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,832.50 : 340,035 = 340,035 : x
  2. Step 2: Convert to fraction form
    264,832.50/340,035 = 340,035/x
  3. Step 3: Cross multiply
    264,832.50x = 340,035 × 340,035
  4. Step 4: Simplify right side
    264,832.50x = 115,623,801,225
  5. Step 5: Solve for x
    x = 115,623,801,225/264,832.50
  6. Step 6: Final answer
    x = 436,592.19

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.