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Finding the Third Proportional to 157,769.50 and 339,595.75

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Solution

The third proportional to 157,769.50 and 339,595.75 is: 730,973.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,769.50 : 339,595.75 = 339,595.75 : x
  2. Step 2: Convert to fraction form
    157,769.50/339,595.75 = 339,595.75/x
  3. Step 3: Cross multiply
    157,769.50x = 339,595.75 × 339,595.75
  4. Step 4: Simplify right side
    157,769.50x = 115,325,273,418.06
  5. Step 5: Solve for x
    x = 115,325,273,418.06/157,769.50
  6. Step 6: Final answer
    x = 730,973.18

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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.