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Finding the Third Proportional to 109,340 and 235,450

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Solution

The third proportional to 109,340 and 235,450 is: 507,012.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,340 : 235,450 = 235,450 : x
  2. Step 2: Convert to fraction form
    109,340/235,450 = 235,450/x
  3. Step 3: Cross multiply
    109,340x = 235,450 × 235,450
  4. Step 4: Simplify right side
    109,340x = 55,436,702,500
  5. Step 5: Solve for x
    x = 55,436,702,500/109,340
  6. Step 6: Final answer
    x = 507,012.10

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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.