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Finding the Third Proportional to 208,996 and 313,007

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Solution

The third proportional to 208,996 and 313,007 is: 468,781.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,996 : 313,007 = 313,007 : x
  2. Step 2: Convert to fraction form
    208,996/313,007 = 313,007/x
  3. Step 3: Cross multiply
    208,996x = 313,007 × 313,007
  4. Step 4: Simplify right side
    208,996x = 97,973,382,049
  5. Step 5: Solve for x
    x = 97,973,382,049/208,996
  6. Step 6: Final answer
    x = 468,781.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.