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Finding the Third Proportional to 253,456 and 354,350

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Solution

The third proportional to 253,456 and 354,350 is: 495,407.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,456 : 354,350 = 354,350 : x
  2. Step 2: Convert to fraction form
    253,456/354,350 = 354,350/x
  3. Step 3: Cross multiply
    253,456x = 354,350 × 354,350
  4. Step 4: Simplify right side
    253,456x = 125,563,922,500
  5. Step 5: Solve for x
    x = 125,563,922,500/253,456
  6. Step 6: Final answer
    x = 495,407.18

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.