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Finding the Third Proportional to 208,096 and 313,982

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Solution

The third proportional to 208,096 and 313,982 is: 473,746.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,096 : 313,982 = 313,982 : x
  2. Step 2: Convert to fraction form
    208,096/313,982 = 313,982/x
  3. Step 3: Cross multiply
    208,096x = 313,982 × 313,982
  4. Step 4: Simplify right side
    208,096x = 98,584,696,324
  5. Step 5: Solve for x
    x = 98,584,696,324/208,096
  6. Step 6: Final answer
    x = 473,746.23

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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.