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Finding the Third Proportional to 149,746 and 226,178

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Solution

The third proportional to 149,746 and 226,178 is: 341,621.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,746 : 226,178 = 226,178 : x
  2. Step 2: Convert to fraction form
    149,746/226,178 = 226,178/x
  3. Step 3: Cross multiply
    149,746x = 226,178 × 226,178
  4. Step 4: Simplify right side
    149,746x = 51,156,487,684
  5. Step 5: Solve for x
    x = 51,156,487,684/149,746
  6. Step 6: Final answer
    x = 341,621.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.