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Finding the Third Proportional to 151,432 and 222,024

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Solution

The third proportional to 151,432 and 222,024 is: 325,523.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,432 : 222,024 = 222,024 : x
  2. Step 2: Convert to fraction form
    151,432/222,024 = 222,024/x
  3. Step 3: Cross multiply
    151,432x = 222,024 × 222,024
  4. Step 4: Simplify right side
    151,432x = 49,294,656,576
  5. Step 5: Solve for x
    x = 49,294,656,576/151,432
  6. Step 6: Final answer
    x = 325,523.38

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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.