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Finding the Third Proportional to 197,964 and 268,959

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Solution

The third proportional to 197,964 and 268,959 is: 365,414.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,964 : 268,959 = 268,959 : x
  2. Step 2: Convert to fraction form
    197,964/268,959 = 268,959/x
  3. Step 3: Cross multiply
    197,964x = 268,959 × 268,959
  4. Step 4: Simplify right side
    197,964x = 72,338,943,681
  5. Step 5: Solve for x
    x = 72,338,943,681/197,964
  6. Step 6: Final answer
    x = 365,414.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.