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Finding the Third Proportional to 208,065.75 and 314,286

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Solution

The third proportional to 208,065.75 and 314,286 is: 474,733.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,065.75 : 314,286 = 314,286 : x
  2. Step 2: Convert to fraction form
    208,065.75/314,286 = 314,286/x
  3. Step 3: Cross multiply
    208,065.75x = 314,286 × 314,286
  4. Step 4: Simplify right side
    208,065.75x = 98,775,689,796
  5. Step 5: Solve for x
    x = 98,775,689,796/208,065.75
  6. Step 6: Final answer
    x = 474,733.06

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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.