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Finding the Third Proportional to 128,782 and 197,000

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Solution

The third proportional to 128,782 and 197,000 is: 301,354.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,782 : 197,000 = 197,000 : x
  2. Step 2: Convert to fraction form
    128,782/197,000 = 197,000/x
  3. Step 3: Cross multiply
    128,782x = 197,000 × 197,000
  4. Step 4: Simplify right side
    128,782x = 38,809,000,000
  5. Step 5: Solve for x
    x = 38,809,000,000/128,782
  6. Step 6: Final answer
    x = 301,354.23

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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.