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Finding the Third Proportional to 176,916 and 264,724

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Solution

The third proportional to 176,916 and 264,724 is: 396,113.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,916 : 264,724 = 264,724 : x
  2. Step 2: Convert to fraction form
    176,916/264,724 = 264,724/x
  3. Step 3: Cross multiply
    176,916x = 264,724 × 264,724
  4. Step 4: Simplify right side
    176,916x = 70,078,796,176
  5. Step 5: Solve for x
    x = 70,078,796,176/176,916
  6. Step 6: Final answer
    x = 396,113.39

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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.