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Finding the Third Proportional to 74,444 and 152,836

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Solution

The third proportional to 74,444 and 152,836 is: 313,777.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,444 : 152,836 = 152,836 : x
  2. Step 2: Convert to fraction form
    74,444/152,836 = 152,836/x
  3. Step 3: Cross multiply
    74,444x = 152,836 × 152,836
  4. Step 4: Simplify right side
    74,444x = 23,358,842,896
  5. Step 5: Solve for x
    x = 23,358,842,896/74,444
  6. Step 6: Final answer
    x = 313,777.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.