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Finding the Third Proportional to 243,186 and 363,803

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Solution

The third proportional to 243,186 and 363,803 is: 544,244.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,186 : 363,803 = 363,803 : x
  2. Step 2: Convert to fraction form
    243,186/363,803 = 363,803/x
  3. Step 3: Cross multiply
    243,186x = 363,803 × 363,803
  4. Step 4: Simplify right side
    243,186x = 132,352,622,809
  5. Step 5: Solve for x
    x = 132,352,622,809/243,186
  6. Step 6: Final answer
    x = 544,244.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.