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Finding the Third Proportional to 208,038 and 313,250

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Solution

The third proportional to 208,038 and 313,250 is: 471,671.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,038 : 313,250 = 313,250 : x
  2. Step 2: Convert to fraction form
    208,038/313,250 = 313,250/x
  3. Step 3: Cross multiply
    208,038x = 313,250 × 313,250
  4. Step 4: Simplify right side
    208,038x = 98,125,562,500
  5. Step 5: Solve for x
    x = 98,125,562,500/208,038
  6. Step 6: Final answer
    x = 471,671.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.