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Finding the Third Proportional to 239,314 and 354,242

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Solution

The third proportional to 239,314 and 354,242 is: 524,362.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,314 : 354,242 = 354,242 : x
  2. Step 2: Convert to fraction form
    239,314/354,242 = 354,242/x
  3. Step 3: Cross multiply
    239,314x = 354,242 × 354,242
  4. Step 4: Simplify right side
    239,314x = 125,487,394,564
  5. Step 5: Solve for x
    x = 125,487,394,564/239,314
  6. Step 6: Final answer
    x = 524,362.95

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.