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Finding the Third Proportional to 176,033 and 264,896

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Solution

The third proportional to 176,033 and 264,896 is: 398,617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,033 : 264,896 = 264,896 : x
  2. Step 2: Convert to fraction form
    176,033/264,896 = 264,896/x
  3. Step 3: Cross multiply
    176,033x = 264,896 × 264,896
  4. Step 4: Simplify right side
    176,033x = 70,169,890,816
  5. Step 5: Solve for x
    x = 70,169,890,816/176,033
  6. Step 6: Final answer
    x = 398,617.82

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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.