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Finding the Third Proportional to 183,600 and 403,272

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Solution

The third proportional to 183,600 and 403,272 is: 885,775.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,600 : 403,272 = 403,272 : x
  2. Step 2: Convert to fraction form
    183,600/403,272 = 403,272/x
  3. Step 3: Cross multiply
    183,600x = 403,272 × 403,272
  4. Step 4: Simplify right side
    183,600x = 162,628,305,984
  5. Step 5: Solve for x
    x = 162,628,305,984/183,600
  6. Step 6: Final answer
    x = 885,775.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.