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Finding the Third Proportional to 149,216 and 231,388

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Solution

The third proportional to 149,216 and 231,388 is: 358,811.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,216 : 231,388 = 231,388 : x
  2. Step 2: Convert to fraction form
    149,216/231,388 = 231,388/x
  3. Step 3: Cross multiply
    149,216x = 231,388 × 231,388
  4. Step 4: Simplify right side
    149,216x = 53,540,406,544
  5. Step 5: Solve for x
    x = 53,540,406,544/149,216
  6. Step 6: Final answer
    x = 358,811.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.