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Finding the Third Proportional to 201,970 and 313,598

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Solution

The third proportional to 201,970 and 313,598 is: 486,922.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,970 : 313,598 = 313,598 : x
  2. Step 2: Convert to fraction form
    201,970/313,598 = 313,598/x
  3. Step 3: Cross multiply
    201,970x = 313,598 × 313,598
  4. Step 4: Simplify right side
    201,970x = 98,343,705,604
  5. Step 5: Solve for x
    x = 98,343,705,604/201,970
  6. Step 6: Final answer
    x = 486,922.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.