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Finding the Third Proportional to 172,448 and 376,968

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Solution

The third proportional to 172,448 and 376,968 is: 824,044.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,448 : 376,968 = 376,968 : x
  2. Step 2: Convert to fraction form
    172,448/376,968 = 376,968/x
  3. Step 3: Cross multiply
    172,448x = 376,968 × 376,968
  4. Step 4: Simplify right side
    172,448x = 142,104,873,024
  5. Step 5: Solve for x
    x = 142,104,873,024/172,448
  6. Step 6: Final answer
    x = 824,044.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.