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Finding the Third Proportional to 157,122 and 339,345

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Solution

The third proportional to 157,122 and 339,345 is: 732,902.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,122 : 339,345 = 339,345 : x
  2. Step 2: Convert to fraction form
    157,122/339,345 = 339,345/x
  3. Step 3: Cross multiply
    157,122x = 339,345 × 339,345
  4. Step 4: Simplify right side
    157,122x = 115,155,029,025
  5. Step 5: Solve for x
    x = 115,155,029,025/157,122
  6. Step 6: Final answer
    x = 732,902.01

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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.