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Finding the Third Proportional to 114,177 and 240,663

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Solution

The third proportional to 114,177 and 240,663 is: 507,270.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,177 : 240,663 = 240,663 : x
  2. Step 2: Convert to fraction form
    114,177/240,663 = 240,663/x
  3. Step 3: Cross multiply
    114,177x = 240,663 × 240,663
  4. Step 4: Simplify right side
    114,177x = 57,918,679,569
  5. Step 5: Solve for x
    x = 57,918,679,569/114,177
  6. Step 6: Final answer
    x = 507,270.99

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.