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Finding the Third Proportional to 218,684 and 357,096

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Solution

The third proportional to 218,684 and 357,096 is: 583,113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,684 : 357,096 = 357,096 : x
  2. Step 2: Convert to fraction form
    218,684/357,096 = 357,096/x
  3. Step 3: Cross multiply
    218,684x = 357,096 × 357,096
  4. Step 4: Simplify right side
    218,684x = 127,517,553,216
  5. Step 5: Solve for x
    x = 127,517,553,216/218,684
  6. Step 6: Final answer
    x = 583,113.32

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.