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Finding the Third Proportional to 128,697 and 196,870.50

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Solution

The third proportional to 128,697 and 196,870.50 is: 301,156.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,697 : 196,870.50 = 196,870.50 : x
  2. Step 2: Convert to fraction form
    128,697/196,870.50 = 196,870.50/x
  3. Step 3: Cross multiply
    128,697x = 196,870.50 × 196,870.50
  4. Step 4: Simplify right side
    128,697x = 38,757,993,770.25
  5. Step 5: Solve for x
    x = 38,757,993,770.25/128,697
  6. Step 6: Final answer
    x = 301,156.93

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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.