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Finding the Third Proportional to 150,264 and 317,295

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Solution

The third proportional to 150,264 and 317,295 is: 669,994.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,264 : 317,295 = 317,295 : x
  2. Step 2: Convert to fraction form
    150,264/317,295 = 317,295/x
  3. Step 3: Cross multiply
    150,264x = 317,295 × 317,295
  4. Step 4: Simplify right side
    150,264x = 100,676,117,025
  5. Step 5: Solve for x
    x = 100,676,117,025/150,264
  6. Step 6: Final answer
    x = 669,994.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.