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Finding the Third Proportional to 132,122 and 198,226

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Solution

The third proportional to 132,122 and 198,226 is: 297,403.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,122 : 198,226 = 198,226 : x
  2. Step 2: Convert to fraction form
    132,122/198,226 = 198,226/x
  3. Step 3: Cross multiply
    132,122x = 198,226 × 198,226
  4. Step 4: Simplify right side
    132,122x = 39,293,547,076
  5. Step 5: Solve for x
    x = 39,293,547,076/132,122
  6. Step 6: Final answer
    x = 297,403.51

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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.