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Finding the Third Proportional to 159,470 and 341,836

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Solution

The third proportional to 159,470 and 341,836 is: 732,751.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,470 : 341,836 = 341,836 : x
  2. Step 2: Convert to fraction form
    159,470/341,836 = 341,836/x
  3. Step 3: Cross multiply
    159,470x = 341,836 × 341,836
  4. Step 4: Simplify right side
    159,470x = 116,851,850,896
  5. Step 5: Solve for x
    x = 116,851,850,896/159,470
  6. Step 6: Final answer
    x = 732,751.31

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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.