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Finding the Third Proportional to 211,325 and 313,495

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Solution

The third proportional to 211,325 and 313,495 is: 465,061.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,325 : 313,495 = 313,495 : x
  2. Step 2: Convert to fraction form
    211,325/313,495 = 313,495/x
  3. Step 3: Cross multiply
    211,325x = 313,495 × 313,495
  4. Step 4: Simplify right side
    211,325x = 98,279,115,025
  5. Step 5: Solve for x
    x = 98,279,115,025/211,325
  6. Step 6: Final answer
    x = 465,061.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.