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Finding the Third Proportional to 79,402 and 170,317

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Solution

The third proportional to 79,402 and 170,317 is: 365,329.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,402 : 170,317 = 170,317 : x
  2. Step 2: Convert to fraction form
    79,402/170,317 = 170,317/x
  3. Step 3: Cross multiply
    79,402x = 170,317 × 170,317
  4. Step 4: Simplify right side
    79,402x = 29,007,880,489
  5. Step 5: Solve for x
    x = 29,007,880,489/79,402
  6. Step 6: Final answer
    x = 365,329.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.