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Finding the Third Proportional to 157,365 and 339,608.25

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Solution

The third proportional to 157,365 and 339,608.25 is: 732,906.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,365 : 339,608.25 = 339,608.25 : x
  2. Step 2: Convert to fraction form
    157,365/339,608.25 = 339,608.25/x
  3. Step 3: Cross multiply
    157,365x = 339,608.25 × 339,608.25
  4. Step 4: Simplify right side
    157,365x = 115,333,763,468.06
  5. Step 5: Solve for x
    x = 115,333,763,468.06/157,365
  6. Step 6: Final answer
    x = 732,906.07

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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.