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Finding the Third Proportional to 157,848 and 222,024

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Solution

The third proportional to 157,848 and 222,024 is: 312,291.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,848 : 222,024 = 222,024 : x
  2. Step 2: Convert to fraction form
    157,848/222,024 = 222,024/x
  3. Step 3: Cross multiply
    157,848x = 222,024 × 222,024
  4. Step 4: Simplify right side
    157,848x = 49,294,656,576
  5. Step 5: Solve for x
    x = 49,294,656,576/157,848
  6. Step 6: Final answer
    x = 312,291.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.