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Finding the Third Proportional to 181,383 and 393,829.50

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Solution

The third proportional to 181,383 and 393,829.50 is: 855,105.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,383 : 393,829.50 = 393,829.50 : x
  2. Step 2: Convert to fraction form
    181,383/393,829.50 = 393,829.50/x
  3. Step 3: Cross multiply
    181,383x = 393,829.50 × 393,829.50
  4. Step 4: Simplify right side
    181,383x = 155,101,675,070.25
  5. Step 5: Solve for x
    x = 155,101,675,070.25/181,383
  6. Step 6: Final answer
    x = 855,105.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.