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Finding the Third Proportional to 176,308 and 264,844

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Solution

The third proportional to 176,308 and 264,844 is: 397,839.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,308 : 264,844 = 264,844 : x
  2. Step 2: Convert to fraction form
    176,308/264,844 = 264,844/x
  3. Step 3: Cross multiply
    176,308x = 264,844 × 264,844
  4. Step 4: Simplify right side
    176,308x = 70,142,344,336
  5. Step 5: Solve for x
    x = 70,142,344,336/176,308
  6. Step 6: Final answer
    x = 397,839.83

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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.