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Finding the Third Proportional to 114,202 and 251,185

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Solution

The third proportional to 114,202 and 251,185 is: 552,476.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,202 : 251,185 = 251,185 : x
  2. Step 2: Convert to fraction form
    114,202/251,185 = 251,185/x
  3. Step 3: Cross multiply
    114,202x = 251,185 × 251,185
  4. Step 4: Simplify right side
    114,202x = 63,093,904,225
  5. Step 5: Solve for x
    x = 63,093,904,225/114,202
  6. Step 6: Final answer
    x = 552,476.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.