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Finding the Third Proportional to 151,017 and 317,573

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Solution

The third proportional to 151,017 and 317,573 is: 667,822.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,017 : 317,573 = 317,573 : x
  2. Step 2: Convert to fraction form
    151,017/317,573 = 317,573/x
  3. Step 3: Cross multiply
    151,017x = 317,573 × 317,573
  4. Step 4: Simplify right side
    151,017x = 100,852,610,329
  5. Step 5: Solve for x
    x = 100,852,610,329/151,017
  6. Step 6: Final answer
    x = 667,822.90

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.