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Finding the Third Proportional to 114,927.75 and 243,679.50

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Solution

The third proportional to 114,927.75 and 243,679.50 is: 516,669.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,927.75 : 243,679.50 = 243,679.50 : x
  2. Step 2: Convert to fraction form
    114,927.75/243,679.50 = 243,679.50/x
  3. Step 3: Cross multiply
    114,927.75x = 243,679.50 × 243,679.50
  4. Step 4: Simplify right side
    114,927.75x = 59,379,698,720.25
  5. Step 5: Solve for x
    x = 59,379,698,720.25/114,927.75
  6. Step 6: Final answer
    x = 516,669.81

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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.