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Finding the Third Proportional to 111,885.75 and 243,447.75

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Solution

The third proportional to 111,885.75 and 243,447.75 is: 529,708.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,885.75 : 243,447.75 = 243,447.75 : x
  2. Step 2: Convert to fraction form
    111,885.75/243,447.75 = 243,447.75/x
  3. Step 3: Cross multiply
    111,885.75x = 243,447.75 × 243,447.75
  4. Step 4: Simplify right side
    111,885.75x = 59,266,806,980.06
  5. Step 5: Solve for x
    x = 59,266,806,980.06/111,885.75
  6. Step 6: Final answer
    x = 529,708.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.