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Finding the Third Proportional to 184,837.13 and 383,719.13

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Solution

The third proportional to 184,837.13 and 383,719.13 is: 796,595.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,837.13 : 383,719.13 = 383,719.13 : x
  2. Step 2: Convert to fraction form
    184,837.13/383,719.13 = 383,719.13/x
  3. Step 3: Cross multiply
    184,837.13x = 383,719.13 × 383,719.13
  4. Step 4: Simplify right side
    184,837.13x = 147,240,366,890.77
  5. Step 5: Solve for x
    x = 147,240,366,890.77/184,837.13
  6. Step 6: Final answer
    x = 796,595.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.