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Finding the Third Proportional to 159,912 and 344,434

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Solution

The third proportional to 159,912 and 344,434 is: 741,875.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,912 : 344,434 = 344,434 : x
  2. Step 2: Convert to fraction form
    159,912/344,434 = 344,434/x
  3. Step 3: Cross multiply
    159,912x = 344,434 × 344,434
  4. Step 4: Simplify right side
    159,912x = 118,634,780,356
  5. Step 5: Solve for x
    x = 118,634,780,356/159,912
  6. Step 6: Final answer
    x = 741,875.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.