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Finding the Third Proportional to 151,938 and 221,243.25

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Solution

The third proportional to 151,938 and 221,243.25 is: 322,161.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,938 : 221,243.25 = 221,243.25 : x
  2. Step 2: Convert to fraction form
    151,938/221,243.25 = 221,243.25/x
  3. Step 3: Cross multiply
    151,938x = 221,243.25 × 221,243.25
  4. Step 4: Simplify right side
    151,938x = 48,948,575,670.56
  5. Step 5: Solve for x
    x = 48,948,575,670.56/151,938
  6. Step 6: Final answer
    x = 322,161.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.