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Finding the Third Proportional to 161,994 and 228,022

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Solution

The third proportional to 161,994 and 228,022 is: 320,962.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,994 : 228,022 = 228,022 : x
  2. Step 2: Convert to fraction form
    161,994/228,022 = 228,022/x
  3. Step 3: Cross multiply
    161,994x = 228,022 × 228,022
  4. Step 4: Simplify right side
    161,994x = 51,994,032,484
  5. Step 5: Solve for x
    x = 51,994,032,484/161,994
  6. Step 6: Final answer
    x = 320,962.71

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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.