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Finding the Third Proportional to 233,538 and 361,242

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Solution

The third proportional to 233,538 and 361,242 is: 558,777.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,538 : 361,242 = 361,242 : x
  2. Step 2: Convert to fraction form
    233,538/361,242 = 361,242/x
  3. Step 3: Cross multiply
    233,538x = 361,242 × 361,242
  4. Step 4: Simplify right side
    233,538x = 130,495,782,564
  5. Step 5: Solve for x
    x = 130,495,782,564/233,538
  6. Step 6: Final answer
    x = 558,777.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.