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Finding the Third Proportional to 176,604 and 264,212

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Solution

The third proportional to 176,604 and 264,212 is: 395,279.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,604 : 264,212 = 264,212 : x
  2. Step 2: Convert to fraction form
    176,604/264,212 = 264,212/x
  3. Step 3: Cross multiply
    176,604x = 264,212 × 264,212
  4. Step 4: Simplify right side
    176,604x = 69,807,980,944
  5. Step 5: Solve for x
    x = 69,807,980,944/176,604
  6. Step 6: Final answer
    x = 395,279.73

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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.