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Finding the Third Proportional to 197,856 and 296,784

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Solution

The third proportional to 197,856 and 296,784 is: 445,176

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,856 : 296,784 = 296,784 : x
  2. Step 2: Convert to fraction form
    197,856/296,784 = 296,784/x
  3. Step 3: Cross multiply
    197,856x = 296,784 × 296,784
  4. Step 4: Simplify right side
    197,856x = 88,080,742,656
  5. Step 5: Solve for x
    x = 88,080,742,656/197,856
  6. Step 6: Final answer
    x = 445,176

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.