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Finding the Third Proportional to 181,298.63 and 384,207.75

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Solution

The third proportional to 181,298.63 and 384,207.75 is: 814,212.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,298.63 : 384,207.75 = 384,207.75 : x
  2. Step 2: Convert to fraction form
    181,298.63/384,207.75 = 384,207.75/x
  3. Step 3: Cross multiply
    181,298.63x = 384,207.75 × 384,207.75
  4. Step 4: Simplify right side
    181,298.63x = 147,615,595,160.06
  5. Step 5: Solve for x
    x = 147,615,595,160.06/181,298.63
  6. Step 6: Final answer
    x = 814,212.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.