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Finding the Third Proportional to 357,254 and 485,161

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Solution

The third proportional to 357,254 and 485,161 is: 658,862.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,254 : 485,161 = 485,161 : x
  2. Step 2: Convert to fraction form
    357,254/485,161 = 485,161/x
  3. Step 3: Cross multiply
    357,254x = 485,161 × 485,161
  4. Step 4: Simplify right side
    357,254x = 235,381,195,921
  5. Step 5: Solve for x
    x = 235,381,195,921/357,254
  6. Step 6: Final answer
    x = 658,862.31

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.