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Finding the Third Proportional to 151,449 and 235,178

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Solution

The third proportional to 151,449 and 235,178 is: 365,196.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,449 : 235,178 = 235,178 : x
  2. Step 2: Convert to fraction form
    151,449/235,178 = 235,178/x
  3. Step 3: Cross multiply
    151,449x = 235,178 × 235,178
  4. Step 4: Simplify right side
    151,449x = 55,308,691,684
  5. Step 5: Solve for x
    x = 55,308,691,684/151,449
  6. Step 6: Final answer
    x = 365,196.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.