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Finding the Third Proportional to 138,560 and 208,455

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Solution

The third proportional to 138,560 and 208,455 is: 313,607.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,560 : 208,455 = 208,455 : x
  2. Step 2: Convert to fraction form
    138,560/208,455 = 208,455/x
  3. Step 3: Cross multiply
    138,560x = 208,455 × 208,455
  4. Step 4: Simplify right side
    138,560x = 43,453,487,025
  5. Step 5: Solve for x
    x = 43,453,487,025/138,560
  6. Step 6: Final answer
    x = 313,607.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.