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Finding the Third Proportional to 204,352 and 317,154

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Solution

The third proportional to 204,352 and 317,154 is: 492,222.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,352 : 317,154 = 317,154 : x
  2. Step 2: Convert to fraction form
    204,352/317,154 = 317,154/x
  3. Step 3: Cross multiply
    204,352x = 317,154 × 317,154
  4. Step 4: Simplify right side
    204,352x = 100,586,659,716
  5. Step 5: Solve for x
    x = 100,586,659,716/204,352
  6. Step 6: Final answer
    x = 492,222.54

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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.