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Finding the Third Proportional to 149,312 and 226,337

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Solution

The third proportional to 149,312 and 226,337 is: 343,096.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,312 : 226,337 = 226,337 : x
  2. Step 2: Convert to fraction form
    149,312/226,337 = 226,337/x
  3. Step 3: Cross multiply
    149,312x = 226,337 × 226,337
  4. Step 4: Simplify right side
    149,312x = 51,228,437,569
  5. Step 5: Solve for x
    x = 51,228,437,569/149,312
  6. Step 6: Final answer
    x = 343,096.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.