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Finding the Third Proportional to 207,982 and 313,835

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Solution

The third proportional to 207,982 and 313,835 is: 473,562.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,982 : 313,835 = 313,835 : x
  2. Step 2: Convert to fraction form
    207,982/313,835 = 313,835/x
  3. Step 3: Cross multiply
    207,982x = 313,835 × 313,835
  4. Step 4: Simplify right side
    207,982x = 98,492,407,225
  5. Step 5: Solve for x
    x = 98,492,407,225/207,982
  6. Step 6: Final answer
    x = 473,562.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.