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Finding the Third Proportional to 169,470 and 361,456

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Solution

The third proportional to 169,470 and 361,456 is: 770,935.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,470 : 361,456 = 361,456 : x
  2. Step 2: Convert to fraction form
    169,470/361,456 = 361,456/x
  3. Step 3: Cross multiply
    169,470x = 361,456 × 361,456
  4. Step 4: Simplify right side
    169,470x = 130,650,439,936
  5. Step 5: Solve for x
    x = 130,650,439,936/169,470
  6. Step 6: Final answer
    x = 770,935.50

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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.