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Finding the Third Proportional to 175,183 and 383,078

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Solution

The third proportional to 175,183 and 383,078 is: 837,688.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,183 : 383,078 = 383,078 : x
  2. Step 2: Convert to fraction form
    175,183/383,078 = 383,078/x
  3. Step 3: Cross multiply
    175,183x = 383,078 × 383,078
  4. Step 4: Simplify right side
    175,183x = 146,748,754,084
  5. Step 5: Solve for x
    x = 146,748,754,084/175,183
  6. Step 6: Final answer
    x = 837,688.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.