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Finding the Third Proportional to 109,424 and 235,592

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Solution

The third proportional to 109,424 and 235,592 is: 507,234.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,424 : 235,592 = 235,592 : x
  2. Step 2: Convert to fraction form
    109,424/235,592 = 235,592/x
  3. Step 3: Cross multiply
    109,424x = 235,592 × 235,592
  4. Step 4: Simplify right side
    109,424x = 55,503,590,464
  5. Step 5: Solve for x
    x = 55,503,590,464/109,424
  6. Step 6: Final answer
    x = 507,234.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.