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Finding the Third Proportional to 157,211.93 and 339,320.60

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Solution

The third proportional to 157,211.93 and 339,320.60 is: 732,377.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,211.93 : 339,320.60 = 339,320.60 : x
  2. Step 2: Convert to fraction form
    157,211.93/339,320.60 = 339,320.60/x
  3. Step 3: Cross multiply
    157,211.93x = 339,320.60 × 339,320.60
  4. Step 4: Simplify right side
    157,211.93x = 115,138,470,644.74
  5. Step 5: Solve for x
    x = 115,138,470,644.74/157,211.93
  6. Step 6: Final answer
    x = 732,377.44

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