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Finding the Third Proportional to 357,256 and 485,164

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Solution

The third proportional to 357,256 and 485,164 is: 658,866.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,256 : 485,164 = 485,164 : x
  2. Step 2: Convert to fraction form
    357,256/485,164 = 485,164/x
  3. Step 3: Cross multiply
    357,256x = 485,164 × 485,164
  4. Step 4: Simplify right side
    357,256x = 235,384,106,896
  5. Step 5: Solve for x
    x = 235,384,106,896/357,256
  6. Step 6: Final answer
    x = 658,866.77

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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.