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Finding the Third Proportional to 221,383.13 and 323,362.13

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Solution

The third proportional to 221,383.13 and 323,362.13 is: 472,317.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,383.13 : 323,362.13 = 323,362.13 : x
  2. Step 2: Convert to fraction form
    221,383.13/323,362.13 = 323,362.13/x
  3. Step 3: Cross multiply
    221,383.13x = 323,362.13 × 323,362.13
  4. Step 4: Simplify right side
    221,383.13x = 104,563,063,884.52
  5. Step 5: Solve for x
    x = 104,563,063,884.52/221,383.13
  6. Step 6: Final answer
    x = 472,317.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.