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Finding the Third Proportional to 103,952 and 231,232

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Solution

The third proportional to 103,952 and 231,232 is: 514,355.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,952 : 231,232 = 231,232 : x
  2. Step 2: Convert to fraction form
    103,952/231,232 = 231,232/x
  3. Step 3: Cross multiply
    103,952x = 231,232 × 231,232
  4. Step 4: Simplify right side
    103,952x = 53,468,237,824
  5. Step 5: Solve for x
    x = 53,468,237,824/103,952
  6. Step 6: Final answer
    x = 514,355.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.