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Finding the Third Proportional to 85,330 and 183,740

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Solution

The third proportional to 85,330 and 183,740 is: 395,645.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,330 : 183,740 = 183,740 : x
  2. Step 2: Convert to fraction form
    85,330/183,740 = 183,740/x
  3. Step 3: Cross multiply
    85,330x = 183,740 × 183,740
  4. Step 4: Simplify right side
    85,330x = 33,760,387,600
  5. Step 5: Solve for x
    x = 33,760,387,600/85,330
  6. Step 6: Final answer
    x = 395,645.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.