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Finding the Third Proportional to 146,244 and 317,544

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Solution

The third proportional to 146,244 and 317,544 is: 689,492.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,244 : 317,544 = 317,544 : x
  2. Step 2: Convert to fraction form
    146,244/317,544 = 317,544/x
  3. Step 3: Cross multiply
    146,244x = 317,544 × 317,544
  4. Step 4: Simplify right side
    146,244x = 100,834,191,936
  5. Step 5: Solve for x
    x = 100,834,191,936/146,244
  6. Step 6: Final answer
    x = 689,492.85

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