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Finding the Third Proportional to 238,773 and 361,233

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Solution

The third proportional to 238,773 and 361,233 is: 546,499.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,773 : 361,233 = 361,233 : x
  2. Step 2: Convert to fraction form
    238,773/361,233 = 361,233/x
  3. Step 3: Cross multiply
    238,773x = 361,233 × 361,233
  4. Step 4: Simplify right side
    238,773x = 130,489,280,289
  5. Step 5: Solve for x
    x = 130,489,280,289/238,773
  6. Step 6: Final answer
    x = 546,499.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.