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Finding the Third Proportional to 79,362 and 165,297

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Solution

The third proportional to 79,362 and 165,297 is: 344,284.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,362 : 165,297 = 165,297 : x
  2. Step 2: Convert to fraction form
    79,362/165,297 = 165,297/x
  3. Step 3: Cross multiply
    79,362x = 165,297 × 165,297
  4. Step 4: Simplify right side
    79,362x = 27,323,098,209
  5. Step 5: Solve for x
    x = 27,323,098,209/79,362
  6. Step 6: Final answer
    x = 344,284.40

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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.