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Finding the Third Proportional to 175,046 and 262,515

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Solution

The third proportional to 175,046 and 262,515 is: 393,691.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,046 : 262,515 = 262,515 : x
  2. Step 2: Convert to fraction form
    175,046/262,515 = 262,515/x
  3. Step 3: Cross multiply
    175,046x = 262,515 × 262,515
  4. Step 4: Simplify right side
    175,046x = 68,914,125,225
  5. Step 5: Solve for x
    x = 68,914,125,225/175,046
  6. Step 6: Final answer
    x = 393,691.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.