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Finding the Third Proportional to 109,658 and 235,633

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Solution

The third proportional to 109,658 and 235,633 is: 506,327.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,658 : 235,633 = 235,633 : x
  2. Step 2: Convert to fraction form
    109,658/235,633 = 235,633/x
  3. Step 3: Cross multiply
    109,658x = 235,633 × 235,633
  4. Step 4: Simplify right side
    109,658x = 55,522,910,689
  5. Step 5: Solve for x
    x = 55,522,910,689/109,658
  6. Step 6: Final answer
    x = 506,327.95

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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.