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Finding the Third Proportional to 207,025 and 313,643

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Solution

The third proportional to 207,025 and 313,643 is: 475,169.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,025 : 313,643 = 313,643 : x
  2. Step 2: Convert to fraction form
    207,025/313,643 = 313,643/x
  3. Step 3: Cross multiply
    207,025x = 313,643 × 313,643
  4. Step 4: Simplify right side
    207,025x = 98,371,931,449
  5. Step 5: Solve for x
    x = 98,371,931,449/207,025
  6. Step 6: Final answer
    x = 475,169.33

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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.