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Finding the Third Proportional to 88,008 and 207,690

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Solution

The third proportional to 88,008 and 207,690 is: 490,127.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,008 : 207,690 = 207,690 : x
  2. Step 2: Convert to fraction form
    88,008/207,690 = 207,690/x
  3. Step 3: Cross multiply
    88,008x = 207,690 × 207,690
  4. Step 4: Simplify right side
    88,008x = 43,135,136,100
  5. Step 5: Solve for x
    x = 43,135,136,100/88,008
  6. Step 6: Final answer
    x = 490,127.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.