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Finding the Third Proportional to 79,350 and 165,276

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Solution

The third proportional to 79,350 and 165,276 is: 344,248.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,350 : 165,276 = 165,276 : x
  2. Step 2: Convert to fraction form
    79,350/165,276 = 165,276/x
  3. Step 3: Cross multiply
    79,350x = 165,276 × 165,276
  4. Step 4: Simplify right side
    79,350x = 27,316,156,176
  5. Step 5: Solve for x
    x = 27,316,156,176/79,350
  6. Step 6: Final answer
    x = 344,248.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.