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Finding the Third Proportional to 183,229.50 and 403,233

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Solution

The third proportional to 183,229.50 and 403,233 is: 887,394.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,229.50 : 403,233 = 403,233 : x
  2. Step 2: Convert to fraction form
    183,229.50/403,233 = 403,233/x
  3. Step 3: Cross multiply
    183,229.50x = 403,233 × 403,233
  4. Step 4: Simplify right side
    183,229.50x = 162,596,852,289
  5. Step 5: Solve for x
    x = 162,596,852,289/183,229.50
  6. Step 6: Final answer
    x = 887,394.51

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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.