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Finding the Third Proportional to 204,124.50 and 317,367

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Solution

The third proportional to 204,124.50 and 317,367 is: 493,433.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,124.50 : 317,367 = 317,367 : x
  2. Step 2: Convert to fraction form
    204,124.50/317,367 = 317,367/x
  3. Step 3: Cross multiply
    204,124.50x = 317,367 × 317,367
  4. Step 4: Simplify right side
    204,124.50x = 100,721,812,689
  5. Step 5: Solve for x
    x = 100,721,812,689/204,124.50
  6. Step 6: Final answer
    x = 493,433.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.