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Finding the Third Proportional to 208,026 and 313,232

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Solution

The third proportional to 208,026 and 313,232 is: 471,644.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,026 : 313,232 = 313,232 : x
  2. Step 2: Convert to fraction form
    208,026/313,232 = 313,232/x
  3. Step 3: Cross multiply
    208,026x = 313,232 × 313,232
  4. Step 4: Simplify right side
    208,026x = 98,114,285,824
  5. Step 5: Solve for x
    x = 98,114,285,824/208,026
  6. Step 6: Final answer
    x = 471,644.34

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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.