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Finding the Third Proportional to 129,023 and 199,288

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Solution

The third proportional to 129,023 and 199,288 is: 307,818.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,023 : 199,288 = 199,288 : x
  2. Step 2: Convert to fraction form
    129,023/199,288 = 199,288/x
  3. Step 3: Cross multiply
    129,023x = 199,288 × 199,288
  4. Step 4: Simplify right side
    129,023x = 39,715,706,944
  5. Step 5: Solve for x
    x = 39,715,706,944/129,023
  6. Step 6: Final answer
    x = 307,818.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.