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Finding the Third Proportional to 128,958 and 197,253

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Solution

The third proportional to 128,958 and 197,253 is: 301,716.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,958 : 197,253 = 197,253 : x
  2. Step 2: Convert to fraction form
    128,958/197,253 = 197,253/x
  3. Step 3: Cross multiply
    128,958x = 197,253 × 197,253
  4. Step 4: Simplify right side
    128,958x = 38,908,746,009
  5. Step 5: Solve for x
    x = 38,908,746,009/128,958
  6. Step 6: Final answer
    x = 301,716.42

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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.