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Finding the Third Proportional to 152,037 and 323,757

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Solution

The third proportional to 152,037 and 323,757 is: 689,428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,037 : 323,757 = 323,757 : x
  2. Step 2: Convert to fraction form
    152,037/323,757 = 323,757/x
  3. Step 3: Cross multiply
    152,037x = 323,757 × 323,757
  4. Step 4: Simplify right side
    152,037x = 104,818,595,049
  5. Step 5: Solve for x
    x = 104,818,595,049/152,037
  6. Step 6: Final answer
    x = 689,428.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.