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Finding the Third Proportional to 68,386 and 150,236

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Solution

The third proportional to 68,386 and 150,236 is: 330,050.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,386 : 150,236 = 150,236 : x
  2. Step 2: Convert to fraction form
    68,386/150,236 = 150,236/x
  3. Step 3: Cross multiply
    68,386x = 150,236 × 150,236
  4. Step 4: Simplify right side
    68,386x = 22,570,855,696
  5. Step 5: Solve for x
    x = 22,570,855,696/68,386
  6. Step 6: Final answer
    x = 330,050.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.