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Finding the Third Proportional to 169,294 and 361,088

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Solution

The third proportional to 169,294 and 361,088 is: 770,166.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,294 : 361,088 = 361,088 : x
  2. Step 2: Convert to fraction form
    169,294/361,088 = 361,088/x
  3. Step 3: Cross multiply
    169,294x = 361,088 × 361,088
  4. Step 4: Simplify right side
    169,294x = 130,384,543,744
  5. Step 5: Solve for x
    x = 130,384,543,744/169,294
  6. Step 6: Final answer
    x = 770,166.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.