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Finding the Third Proportional to 157,196.25 and 339,291.75

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Solution

The third proportional to 157,196.25 and 339,291.75 is: 732,325.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,196.25 : 339,291.75 = 339,291.75 : x
  2. Step 2: Convert to fraction form
    157,196.25/339,291.75 = 339,291.75/x
  3. Step 3: Cross multiply
    157,196.25x = 339,291.75 × 339,291.75
  4. Step 4: Simplify right side
    157,196.25x = 115,118,891,618.06
  5. Step 5: Solve for x
    x = 115,118,891,618.06/157,196.25
  6. Step 6: Final answer
    x = 732,325.94

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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.