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Finding the Third Proportional to 128,800 and 197,038

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Solution

The third proportional to 128,800 and 197,038 is: 301,428.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,800 : 197,038 = 197,038 : x
  2. Step 2: Convert to fraction form
    128,800/197,038 = 197,038/x
  3. Step 3: Cross multiply
    128,800x = 197,038 × 197,038
  4. Step 4: Simplify right side
    128,800x = 38,823,973,444
  5. Step 5: Solve for x
    x = 38,823,973,444/128,800
  6. Step 6: Final answer
    x = 301,428.37

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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.