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Finding the Third Proportional to 160,745 and 226,429

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Solution

The third proportional to 160,745 and 226,429 is: 318,952.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,745 : 226,429 = 226,429 : x
  2. Step 2: Convert to fraction form
    160,745/226,429 = 226,429/x
  3. Step 3: Cross multiply
    160,745x = 226,429 × 226,429
  4. Step 4: Simplify right side
    160,745x = 51,270,092,041
  5. Step 5: Solve for x
    x = 51,270,092,041/160,745
  6. Step 6: Final answer
    x = 318,952.95

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.