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Finding the Third Proportional to 172,348 and 376,771

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Solution

The third proportional to 172,348 and 376,771 is: 823,661.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,348 : 376,771 = 376,771 : x
  2. Step 2: Convert to fraction form
    172,348/376,771 = 376,771/x
  3. Step 3: Cross multiply
    172,348x = 376,771 × 376,771
  4. Step 4: Simplify right side
    172,348x = 141,956,386,441
  5. Step 5: Solve for x
    x = 141,956,386,441/172,348
  6. Step 6: Final answer
    x = 823,661.35

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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.