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Finding the Third Proportional to 197,499 and 385,143

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Solution

The third proportional to 197,499 and 385,143 is: 751,067.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,499 : 385,143 = 385,143 : x
  2. Step 2: Convert to fraction form
    197,499/385,143 = 385,143/x
  3. Step 3: Cross multiply
    197,499x = 385,143 × 385,143
  4. Step 4: Simplify right side
    197,499x = 148,335,130,449
  5. Step 5: Solve for x
    x = 148,335,130,449/197,499
  6. Step 6: Final answer
    x = 751,067.75

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.