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Finding the Third Proportional to 161,172 and 226,566

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Solution

The third proportional to 161,172 and 226,566 is: 318,492.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,172 : 226,566 = 226,566 : x
  2. Step 2: Convert to fraction form
    161,172/226,566 = 226,566/x
  3. Step 3: Cross multiply
    161,172x = 226,566 × 226,566
  4. Step 4: Simplify right side
    161,172x = 51,332,152,356
  5. Step 5: Solve for x
    x = 51,332,152,356/161,172
  6. Step 6: Final answer
    x = 318,492.99

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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.