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Finding the Third Proportional to 176,398 and 264,994

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Solution

The third proportional to 176,398 and 264,994 is: 398,087.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,398 : 264,994 = 264,994 : x
  2. Step 2: Convert to fraction form
    176,398/264,994 = 264,994/x
  3. Step 3: Cross multiply
    176,398x = 264,994 × 264,994
  4. Step 4: Simplify right side
    176,398x = 70,221,820,036
  5. Step 5: Solve for x
    x = 70,221,820,036/176,398
  6. Step 6: Final answer
    x = 398,087.39

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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.