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Finding the Third Proportional to 201,907 and 313,522

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Solution

The third proportional to 201,907 and 313,522 is: 486,838.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,907 : 313,522 = 313,522 : x
  2. Step 2: Convert to fraction form
    201,907/313,522 = 313,522/x
  3. Step 3: Cross multiply
    201,907x = 313,522 × 313,522
  4. Step 4: Simplify right side
    201,907x = 98,296,044,484
  5. Step 5: Solve for x
    x = 98,296,044,484/201,907
  6. Step 6: Final answer
    x = 486,838.22

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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.