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Finding the Third Proportional to 109,650 and 235,932

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Solution

The third proportional to 109,650 and 235,932 is: 507,650.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,650 : 235,932 = 235,932 : x
  2. Step 2: Convert to fraction form
    109,650/235,932 = 235,932/x
  3. Step 3: Cross multiply
    109,650x = 235,932 × 235,932
  4. Step 4: Simplify right side
    109,650x = 55,663,908,624
  5. Step 5: Solve for x
    x = 55,663,908,624/109,650
  6. Step 6: Final answer
    x = 507,650.79

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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.