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Finding the Third Proportional to 62,413 and 143,233

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Solution

The third proportional to 62,413 and 143,233 is: 328,708.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,413 : 143,233 = 143,233 : x
  2. Step 2: Convert to fraction form
    62,413/143,233 = 143,233/x
  3. Step 3: Cross multiply
    62,413x = 143,233 × 143,233
  4. Step 4: Simplify right side
    62,413x = 20,515,692,289
  5. Step 5: Solve for x
    x = 20,515,692,289/62,413
  6. Step 6: Final answer
    x = 328,708.64

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.