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Finding the Third Proportional to 160,746 and 226,431

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Solution

The third proportional to 160,746 and 226,431 is: 318,956.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,746 : 226,431 = 226,431 : x
  2. Step 2: Convert to fraction form
    160,746/226,431 = 226,431/x
  3. Step 3: Cross multiply
    160,746x = 226,431 × 226,431
  4. Step 4: Simplify right side
    160,746x = 51,270,997,761
  5. Step 5: Solve for x
    x = 51,270,997,761/160,746
  6. Step 6: Final answer
    x = 318,956.60

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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.