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Finding the Third Proportional to 151,028 and 222,164

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Solution

The third proportional to 151,028 and 222,164 is: 326,805.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,028 : 222,164 = 222,164 : x
  2. Step 2: Convert to fraction form
    151,028/222,164 = 222,164/x
  3. Step 3: Cross multiply
    151,028x = 222,164 × 222,164
  4. Step 4: Simplify right side
    151,028x = 49,356,842,896
  5. Step 5: Solve for x
    x = 49,356,842,896/151,028
  6. Step 6: Final answer
    x = 326,805.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.