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Finding the Third Proportional to 151,770 and 222,733.50

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Solution

The third proportional to 151,770 and 222,733.50 is: 326,877.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,770 : 222,733.50 = 222,733.50 : x
  2. Step 2: Convert to fraction form
    151,770/222,733.50 = 222,733.50/x
  3. Step 3: Cross multiply
    151,770x = 222,733.50 × 222,733.50
  4. Step 4: Simplify right side
    151,770x = 49,610,212,022.25
  5. Step 5: Solve for x
    x = 49,610,212,022.25/151,770
  6. Step 6: Final answer
    x = 326,877.59

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