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Finding the Third Proportional to 157,145.06 and 339,205.22

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Solution

The third proportional to 157,145.06 and 339,205.22 is: 732,190.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,145.06 : 339,205.22 = 339,205.22 : x
  2. Step 2: Convert to fraction form
    157,145.06/339,205.22 = 339,205.22/x
  3. Step 3: Cross multiply
    157,145.06x = 339,205.22 × 339,205.22
  4. Step 4: Simplify right side
    157,145.06x = 115,060,180,427.24
  5. Step 5: Solve for x
    x = 115,060,180,427.24/157,145.06
  6. Step 6: Final answer
    x = 732,190.87

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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.