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Finding the Third Proportional to 205,157 and 324,584

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Solution

The third proportional to 205,157 and 324,584 is: 513,532.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,157 : 324,584 = 324,584 : x
  2. Step 2: Convert to fraction form
    205,157/324,584 = 324,584/x
  3. Step 3: Cross multiply
    205,157x = 324,584 × 324,584
  4. Step 4: Simplify right side
    205,157x = 105,354,773,056
  5. Step 5: Solve for x
    x = 105,354,773,056/205,157
  6. Step 6: Final answer
    x = 513,532.43

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.