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Finding the Third Proportional to 208,008 and 273,162.38

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Solution

The third proportional to 208,008 and 273,162.38 is: 358,725.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,008 : 273,162.38 = 273,162.38 : x
  2. Step 2: Convert to fraction form
    208,008/273,162.38 = 273,162.38/x
  3. Step 3: Cross multiply
    208,008x = 273,162.38 × 273,162.38
  4. Step 4: Simplify right side
    208,008x = 74,617,683,115.64
  5. Step 5: Solve for x
    x = 74,617,683,115.64/208,008
  6. Step 6: Final answer
    x = 358,725.06

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.