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Finding the Third Proportional to 111,808 and 237,232

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Solution

The third proportional to 111,808 and 237,232 is: 503,354.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,808 : 237,232 = 237,232 : x
  2. Step 2: Convert to fraction form
    111,808/237,232 = 237,232/x
  3. Step 3: Cross multiply
    111,808x = 237,232 × 237,232
  4. Step 4: Simplify right side
    111,808x = 56,279,021,824
  5. Step 5: Solve for x
    x = 56,279,021,824/111,808
  6. Step 6: Final answer
    x = 503,354.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.