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Finding the Third Proportional to 149,258 and 231,099

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Solution

The third proportional to 149,258 and 231,099 is: 357,814.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,258 : 231,099 = 231,099 : x
  2. Step 2: Convert to fraction form
    149,258/231,099 = 231,099/x
  3. Step 3: Cross multiply
    149,258x = 231,099 × 231,099
  4. Step 4: Simplify right side
    149,258x = 53,406,747,801
  5. Step 5: Solve for x
    x = 53,406,747,801/149,258
  6. Step 6: Final answer
    x = 357,814.98

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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.