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Finding the Third Proportional to 208,972 and 318,354

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Solution

The third proportional to 208,972 and 318,354 is: 484,989.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,972 : 318,354 = 318,354 : x
  2. Step 2: Convert to fraction form
    208,972/318,354 = 318,354/x
  3. Step 3: Cross multiply
    208,972x = 318,354 × 318,354
  4. Step 4: Simplify right side
    208,972x = 101,349,269,316
  5. Step 5: Solve for x
    x = 101,349,269,316/208,972
  6. Step 6: Final answer
    x = 484,989.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.