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Finding the Third Proportional to 112,654 and 237,980

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Solution

The third proportional to 112,654 and 237,980 is: 502,729.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,654 : 237,980 = 237,980 : x
  2. Step 2: Convert to fraction form
    112,654/237,980 = 237,980/x
  3. Step 3: Cross multiply
    112,654x = 237,980 × 237,980
  4. Step 4: Simplify right side
    112,654x = 56,634,480,400
  5. Step 5: Solve for x
    x = 56,634,480,400/112,654
  6. Step 6: Final answer
    x = 502,729.42

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.