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Finding the Third Proportional to 109,659 and 235,950

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Solution

The third proportional to 109,659 and 235,950 is: 507,686.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,659 : 235,950 = 235,950 : x
  2. Step 2: Convert to fraction form
    109,659/235,950 = 235,950/x
  3. Step 3: Cross multiply
    109,659x = 235,950 × 235,950
  4. Step 4: Simplify right side
    109,659x = 55,672,402,500
  5. Step 5: Solve for x
    x = 55,672,402,500/109,659
  6. Step 6: Final answer
    x = 507,686.58

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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.