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Finding the Third Proportional to 157,536 and 339,808

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Solution

The third proportional to 157,536 and 339,808 is: 732,972.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,536 : 339,808 = 339,808 : x
  2. Step 2: Convert to fraction form
    157,536/339,808 = 339,808/x
  3. Step 3: Cross multiply
    157,536x = 339,808 × 339,808
  4. Step 4: Simplify right side
    157,536x = 115,469,476,864
  5. Step 5: Solve for x
    x = 115,469,476,864/157,536
  6. Step 6: Final answer
    x = 732,972.00

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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.