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Finding the Third Proportional to 208,069 and 314,290

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Solution

The third proportional to 208,069 and 314,290 is: 474,737.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,069 : 314,290 = 314,290 : x
  2. Step 2: Convert to fraction form
    208,069/314,290 = 314,290/x
  3. Step 3: Cross multiply
    208,069x = 314,290 × 314,290
  4. Step 4: Simplify right side
    208,069x = 98,778,204,100
  5. Step 5: Solve for x
    x = 98,778,204,100/208,069
  6. Step 6: Final answer
    x = 474,737.73

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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.