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Finding the Third Proportional to 114,926.06 and 243,674.44

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Solution

The third proportional to 114,926.06 and 243,674.44 is: 516,655.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,926.06 : 243,674.44 = 243,674.44 : x
  2. Step 2: Convert to fraction form
    114,926.06/243,674.44 = 243,674.44/x
  3. Step 3: Cross multiply
    114,926.06x = 243,674.44 × 243,674.44
  4. Step 4: Simplify right side
    114,926.06x = 59,377,231,490.94
  5. Step 5: Solve for x
    x = 59,377,231,490.94/114,926.06
  6. Step 6: Final answer
    x = 516,655.93

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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.