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Finding the Third Proportional to 114,098 and 254,431

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Solution

The third proportional to 114,098 and 254,431 is: 567,364.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,098 : 254,431 = 254,431 : x
  2. Step 2: Convert to fraction form
    114,098/254,431 = 254,431/x
  3. Step 3: Cross multiply
    114,098x = 254,431 × 254,431
  4. Step 4: Simplify right side
    114,098x = 64,735,133,761
  5. Step 5: Solve for x
    x = 64,735,133,761/114,098
  6. Step 6: Final answer
    x = 567,364.32

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.