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Finding the Third Proportional to 118,098 and 251,505

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Solution

The third proportional to 118,098 and 251,505 is: 535,612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,098 : 251,505 = 251,505 : x
  2. Step 2: Convert to fraction form
    118,098/251,505 = 251,505/x
  3. Step 3: Cross multiply
    118,098x = 251,505 × 251,505
  4. Step 4: Simplify right side
    118,098x = 63,254,765,025
  5. Step 5: Solve for x
    x = 63,254,765,025/118,098
  6. Step 6: Final answer
    x = 535,612.50

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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.