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Finding the Third Proportional to 114,847.88 and 243,334.13

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Solution

The third proportional to 114,847.88 and 243,334.13 is: 515,564.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,847.88 : 243,334.13 = 243,334.13 : x
  2. Step 2: Convert to fraction form
    114,847.88/243,334.13 = 243,334.13/x
  3. Step 3: Cross multiply
    114,847.88x = 243,334.13 × 243,334.13
  4. Step 4: Simplify right side
    114,847.88x = 59,211,496,389.52
  5. Step 5: Solve for x
    x = 59,211,496,389.52/114,847.88
  6. Step 6: Final answer
    x = 515,564.58

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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.