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Finding the Third Proportional to 114,110 and 243,485

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Solution

The third proportional to 114,110 and 243,485 is: 519,542.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,110 : 243,485 = 243,485 : x
  2. Step 2: Convert to fraction form
    114,110/243,485 = 243,485/x
  3. Step 3: Cross multiply
    114,110x = 243,485 × 243,485
  4. Step 4: Simplify right side
    114,110x = 59,284,945,225
  5. Step 5: Solve for x
    x = 59,284,945,225/114,110
  6. Step 6: Final answer
    x = 519,542.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.