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Finding the Third Proportional to 213,482 and 309,207

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Solution

The third proportional to 213,482 and 309,207 is: 447,854.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,482 : 309,207 = 309,207 : x
  2. Step 2: Convert to fraction form
    213,482/309,207 = 309,207/x
  3. Step 3: Cross multiply
    213,482x = 309,207 × 309,207
  4. Step 4: Simplify right side
    213,482x = 95,608,968,849
  5. Step 5: Solve for x
    x = 95,608,968,849/213,482
  6. Step 6: Final answer
    x = 447,854.94

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.