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Finding the Third Proportional to 208,078 and 313,582

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Solution

The third proportional to 208,078 and 313,582 is: 472,580.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,078 : 313,582 = 313,582 : x
  2. Step 2: Convert to fraction form
    208,078/313,582 = 313,582/x
  3. Step 3: Cross multiply
    208,078x = 313,582 × 313,582
  4. Step 4: Simplify right side
    208,078x = 98,333,670,724
  5. Step 5: Solve for x
    x = 98,333,670,724/208,078
  6. Step 6: Final answer
    x = 472,580.81

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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.