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Finding the Third Proportional to 109,440 and 235,766

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Solution

The third proportional to 109,440 and 235,766 is: 507,909.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,440 : 235,766 = 235,766 : x
  2. Step 2: Convert to fraction form
    109,440/235,766 = 235,766/x
  3. Step 3: Cross multiply
    109,440x = 235,766 × 235,766
  4. Step 4: Simplify right side
    109,440x = 55,585,606,756
  5. Step 5: Solve for x
    x = 55,585,606,756/109,440
  6. Step 6: Final answer
    x = 507,909.42

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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.