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Finding the Third Proportional to 183,469 and 403,114

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Solution

The third proportional to 183,469 and 403,114 is: 885,713.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,469 : 403,114 = 403,114 : x
  2. Step 2: Convert to fraction form
    183,469/403,114 = 403,114/x
  3. Step 3: Cross multiply
    183,469x = 403,114 × 403,114
  4. Step 4: Simplify right side
    183,469x = 162,500,896,996
  5. Step 5: Solve for x
    x = 162,500,896,996/183,469
  6. Step 6: Final answer
    x = 885,713.10

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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.