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Finding the Third Proportional to 157,196.25 and 339,405.75

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Solution

The third proportional to 157,196.25 and 339,405.75 is: 732,818.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,196.25 : 339,405.75 = 339,405.75 : x
  2. Step 2: Convert to fraction form
    157,196.25/339,405.75 = 339,405.75/x
  3. Step 3: Cross multiply
    157,196.25x = 339,405.75 × 339,405.75
  4. Step 4: Simplify right side
    157,196.25x = 115,196,263,133.06
  5. Step 5: Solve for x
    x = 115,196,263,133.06/157,196.25
  6. Step 6: Final answer
    x = 732,818.14

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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.