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Finding the Third Proportional to 79,351 and 186,998

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Solution

The third proportional to 79,351 and 186,998 is: 440,678.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,351 : 186,998 = 186,998 : x
  2. Step 2: Convert to fraction form
    79,351/186,998 = 186,998/x
  3. Step 3: Cross multiply
    79,351x = 186,998 × 186,998
  4. Step 4: Simplify right side
    79,351x = 34,968,252,004
  5. Step 5: Solve for x
    x = 34,968,252,004/79,351
  6. Step 6: Final answer
    x = 440,678.15

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.