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Finding the Third Proportional to 79,998 and 185,203

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Solution

The third proportional to 79,998 and 185,203 is: 428,762.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,998 : 185,203 = 185,203 : x
  2. Step 2: Convert to fraction form
    79,998/185,203 = 185,203/x
  3. Step 3: Cross multiply
    79,998x = 185,203 × 185,203
  4. Step 4: Simplify right side
    79,998x = 34,300,151,209
  5. Step 5: Solve for x
    x = 34,300,151,209/79,998
  6. Step 6: Final answer
    x = 428,762.61

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.