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Finding the Third Proportional to 149,952 and 226,466

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Solution

The third proportional to 149,952 and 226,466 is: 342,021.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,952 : 226,466 = 226,466 : x
  2. Step 2: Convert to fraction form
    149,952/226,466 = 226,466/x
  3. Step 3: Cross multiply
    149,952x = 226,466 × 226,466
  4. Step 4: Simplify right side
    149,952x = 51,286,849,156
  5. Step 5: Solve for x
    x = 51,286,849,156/149,952
  6. Step 6: Final answer
    x = 342,021.77

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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.