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Finding the Third Proportional to 175,815 and 271,018

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Solution

The third proportional to 175,815 and 271,018 is: 417,772.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,815 : 271,018 = 271,018 : x
  2. Step 2: Convert to fraction form
    175,815/271,018 = 271,018/x
  3. Step 3: Cross multiply
    175,815x = 271,018 × 271,018
  4. Step 4: Simplify right side
    175,815x = 73,450,756,324
  5. Step 5: Solve for x
    x = 73,450,756,324/175,815
  6. Step 6: Final answer
    x = 417,772.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.