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Finding the Third Proportional to 208,033 and 312,054

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Solution

The third proportional to 208,033 and 312,054 is: 468,087.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,033 : 312,054 = 312,054 : x
  2. Step 2: Convert to fraction form
    208,033/312,054 = 312,054/x
  3. Step 3: Cross multiply
    208,033x = 312,054 × 312,054
  4. Step 4: Simplify right side
    208,033x = 97,377,698,916
  5. Step 5: Solve for x
    x = 97,377,698,916/208,033
  6. Step 6: Final answer
    x = 468,087.75

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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.