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Finding the Third Proportional to 157,716 and 226,706

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Solution

The third proportional to 157,716 and 226,706 is: 325,874.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,716 : 226,706 = 226,706 : x
  2. Step 2: Convert to fraction form
    157,716/226,706 = 226,706/x
  3. Step 3: Cross multiply
    157,716x = 226,706 × 226,706
  4. Step 4: Simplify right side
    157,716x = 51,395,610,436
  5. Step 5: Solve for x
    x = 51,395,610,436/157,716
  6. Step 6: Final answer
    x = 325,874.42

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.