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Finding the Third Proportional to 208,176 and 331,008

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Solution

The third proportional to 208,176 and 331,008 is: 526,315.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,176 : 331,008 = 331,008 : x
  2. Step 2: Convert to fraction form
    208,176/331,008 = 331,008/x
  3. Step 3: Cross multiply
    208,176x = 331,008 × 331,008
  4. Step 4: Simplify right side
    208,176x = 109,566,296,064
  5. Step 5: Solve for x
    x = 109,566,296,064/208,176
  6. Step 6: Final answer
    x = 526,315.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.