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Finding the Third Proportional to 176,389 and 264,980

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Solution

The third proportional to 176,389 and 264,980 is: 398,065.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,389 : 264,980 = 264,980 : x
  2. Step 2: Convert to fraction form
    176,389/264,980 = 264,980/x
  3. Step 3: Cross multiply
    176,389x = 264,980 × 264,980
  4. Step 4: Simplify right side
    176,389x = 70,214,400,400
  5. Step 5: Solve for x
    x = 70,214,400,400/176,389
  6. Step 6: Final answer
    x = 398,065.64

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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.