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Finding the Third Proportional to 204,316 and 317,166

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Solution

The third proportional to 204,316 and 317,166 is: 492,346.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,316 : 317,166 = 317,166 : x
  2. Step 2: Convert to fraction form
    204,316/317,166 = 317,166/x
  3. Step 3: Cross multiply
    204,316x = 317,166 × 317,166
  4. Step 4: Simplify right side
    204,316x = 100,594,271,556
  5. Step 5: Solve for x
    x = 100,594,271,556/204,316
  6. Step 6: Final answer
    x = 492,346.52

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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.