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Finding the Third Proportional to 173,742 and 376,804

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Solution

The third proportional to 173,742 and 376,804 is: 817,195.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,742 : 376,804 = 376,804 : x
  2. Step 2: Convert to fraction form
    173,742/376,804 = 376,804/x
  3. Step 3: Cross multiply
    173,742x = 376,804 × 376,804
  4. Step 4: Simplify right side
    173,742x = 141,981,254,416
  5. Step 5: Solve for x
    x = 141,981,254,416/173,742
  6. Step 6: Final answer
    x = 817,195.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.