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Finding the Third Proportional to 133,455 and 207,834

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Solution

The third proportional to 133,455 and 207,834 is: 323,666.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,455 : 207,834 = 207,834 : x
  2. Step 2: Convert to fraction form
    133,455/207,834 = 207,834/x
  3. Step 3: Cross multiply
    133,455x = 207,834 × 207,834
  4. Step 4: Simplify right side
    133,455x = 43,194,971,556
  5. Step 5: Solve for x
    x = 43,194,971,556/133,455
  6. Step 6: Final answer
    x = 323,666.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.