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Finding the Third Proportional to 159,020 and 222,888

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Solution

The third proportional to 159,020 and 222,888 is: 312,407.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,020 : 222,888 = 222,888 : x
  2. Step 2: Convert to fraction form
    159,020/222,888 = 222,888/x
  3. Step 3: Cross multiply
    159,020x = 222,888 × 222,888
  4. Step 4: Simplify right side
    159,020x = 49,679,060,544
  5. Step 5: Solve for x
    x = 49,679,060,544/159,020
  6. Step 6: Final answer
    x = 312,407.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.