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Finding the Third Proportional to 157,969.50 and 341,224.50

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Solution

The third proportional to 157,969.50 and 341,224.50 is: 737,067.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,969.50 : 341,224.50 = 341,224.50 : x
  2. Step 2: Convert to fraction form
    157,969.50/341,224.50 = 341,224.50/x
  3. Step 3: Cross multiply
    157,969.50x = 341,224.50 × 341,224.50
  4. Step 4: Simplify right side
    157,969.50x = 116,434,159,400.25
  5. Step 5: Solve for x
    x = 116,434,159,400.25/157,969.50
  6. Step 6: Final answer
    x = 737,067.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.