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Finding the Third Proportional to 66,432 and 155,232

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Solution

The third proportional to 66,432 and 155,232 is: 362,731.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,432 : 155,232 = 155,232 : x
  2. Step 2: Convert to fraction form
    66,432/155,232 = 155,232/x
  3. Step 3: Cross multiply
    66,432x = 155,232 × 155,232
  4. Step 4: Simplify right side
    66,432x = 24,096,973,824
  5. Step 5: Solve for x
    x = 24,096,973,824/66,432
  6. Step 6: Final answer
    x = 362,731.42

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.