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Finding the Third Proportional to 181,298.25 and 384,207.05

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Solution

The third proportional to 181,298.25 and 384,207.05 is: 814,211.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,298.25 : 384,207.05 = 384,207.05 : x
  2. Step 2: Convert to fraction form
    181,298.25/384,207.05 = 384,207.05/x
  3. Step 3: Cross multiply
    181,298.25x = 384,207.05 × 384,207.05
  4. Step 4: Simplify right side
    181,298.25x = 147,615,054,868.41
  5. Step 5: Solve for x
    x = 147,615,054,868.41/181,298.25
  6. Step 6: Final answer
    x = 814,211.14

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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.