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Finding the Third Proportional to 172,576 and 403,068

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Solution

The third proportional to 172,576 and 403,068 is: 941,404.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,576 : 403,068 = 403,068 : x
  2. Step 2: Convert to fraction form
    172,576/403,068 = 403,068/x
  3. Step 3: Cross multiply
    172,576x = 403,068 × 403,068
  4. Step 4: Simplify right side
    172,576x = 162,463,812,624
  5. Step 5: Solve for x
    x = 162,463,812,624/172,576
  6. Step 6: Final answer
    x = 941,404.44

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.