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Finding the Third Proportional to 173,974 and 376,730

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Solution

The third proportional to 173,974 and 376,730 is: 815,785.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,974 : 376,730 = 376,730 : x
  2. Step 2: Convert to fraction form
    173,974/376,730 = 376,730/x
  3. Step 3: Cross multiply
    173,974x = 376,730 × 376,730
  4. Step 4: Simplify right side
    173,974x = 141,925,492,900
  5. Step 5: Solve for x
    x = 141,925,492,900/173,974
  6. Step 6: Final answer
    x = 815,785.65

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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.