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Finding the Third Proportional to 128,794.50 and 197,035.88

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Solution

The third proportional to 128,794.50 and 197,035.88 is: 301,434.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,794.50 : 197,035.88 = 197,035.88 : x
  2. Step 2: Convert to fraction form
    128,794.50/197,035.88 = 197,035.88/x
  3. Step 3: Cross multiply
    128,794.50x = 197,035.88 × 197,035.88
  4. Step 4: Simplify right side
    128,794.50x = 38,823,136,037.02
  5. Step 5: Solve for x
    x = 38,823,136,037.02/128,794.50
  6. Step 6: Final answer
    x = 301,434.74

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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.