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Finding the Third Proportional to 176,345 and 264,516

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Solution

The third proportional to 176,345 and 264,516 is: 396,771.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,345 : 264,516 = 264,516 : x
  2. Step 2: Convert to fraction form
    176,345/264,516 = 264,516/x
  3. Step 3: Cross multiply
    176,345x = 264,516 × 264,516
  4. Step 4: Simplify right side
    176,345x = 69,968,714,256
  5. Step 5: Solve for x
    x = 69,968,714,256/176,345
  6. Step 6: Final answer
    x = 396,771.75

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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.