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Finding the Third Proportional to 149,451 and 228,552

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Solution

The third proportional to 149,451 and 228,552 is: 349,519.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,451 : 228,552 = 228,552 : x
  2. Step 2: Convert to fraction form
    149,451/228,552 = 228,552/x
  3. Step 3: Cross multiply
    149,451x = 228,552 × 228,552
  4. Step 4: Simplify right side
    149,451x = 52,236,016,704
  5. Step 5: Solve for x
    x = 52,236,016,704/149,451
  6. Step 6: Final answer
    x = 349,519.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.