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Finding the Third Proportional to 302,143.50 and 658,233

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Solution

The third proportional to 302,143.50 and 658,233 is: 1,433,989.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,143.50 : 658,233 = 658,233 : x
  2. Step 2: Convert to fraction form
    302,143.50/658,233 = 658,233/x
  3. Step 3: Cross multiply
    302,143.50x = 658,233 × 658,233
  4. Step 4: Simplify right side
    302,143.50x = 433,270,682,289
  5. Step 5: Solve for x
    x = 433,270,682,289/302,143.50
  6. Step 6: Final answer
    x = 1,433,989.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.