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Finding the Third Proportional to 114,927 and 243,676.50

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Solution

The third proportional to 114,927 and 243,676.50 is: 516,660.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,927 : 243,676.50 = 243,676.50 : x
  2. Step 2: Convert to fraction form
    114,927/243,676.50 = 243,676.50/x
  3. Step 3: Cross multiply
    114,927x = 243,676.50 × 243,676.50
  4. Step 4: Simplify right side
    114,927x = 59,378,236,652.25
  5. Step 5: Solve for x
    x = 59,378,236,652.25/114,927
  6. Step 6: Final answer
    x = 516,660.46

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