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Finding the Third Proportional to 240,175.75 and 515,966

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Solution

The third proportional to 240,175.75 and 515,966 is: 1,108,442.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,175.75 : 515,966 = 515,966 : x
  2. Step 2: Convert to fraction form
    240,175.75/515,966 = 515,966/x
  3. Step 3: Cross multiply
    240,175.75x = 515,966 × 515,966
  4. Step 4: Simplify right side
    240,175.75x = 266,220,913,156
  5. Step 5: Solve for x
    x = 266,220,913,156/240,175.75
  6. Step 6: Final answer
    x = 1,108,442.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.