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Finding the Third Proportional to 140,974 and 328,951

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Solution

The third proportional to 140,974 and 328,951 is: 767,579.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,974 : 328,951 = 328,951 : x
  2. Step 2: Convert to fraction form
    140,974/328,951 = 328,951/x
  3. Step 3: Cross multiply
    140,974x = 328,951 × 328,951
  4. Step 4: Simplify right side
    140,974x = 108,208,760,401
  5. Step 5: Solve for x
    x = 108,208,760,401/140,974
  6. Step 6: Final answer
    x = 767,579.56

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.