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Finding the Third Proportional to 183,214.13 and 403,698.38

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Solution

The third proportional to 183,214.13 and 403,698.38 is: 889,518.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,214.13 : 403,698.38 = 403,698.38 : x
  2. Step 2: Convert to fraction form
    183,214.13/403,698.38 = 403,698.38/x
  3. Step 3: Cross multiply
    183,214.13x = 403,698.38 × 403,698.38
  4. Step 4: Simplify right side
    183,214.13x = 162,972,377,977.64
  5. Step 5: Solve for x
    x = 162,972,377,977.64/183,214.13
  6. Step 6: Final answer
    x = 889,518.63

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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.