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Finding the Third Proportional to 158,076 and 281,064

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Solution

The third proportional to 158,076 and 281,064 is: 499,740.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,076 : 281,064 = 281,064 : x
  2. Step 2: Convert to fraction form
    158,076/281,064 = 281,064/x
  3. Step 3: Cross multiply
    158,076x = 281,064 × 281,064
  4. Step 4: Simplify right side
    158,076x = 78,996,972,096
  5. Step 5: Solve for x
    x = 78,996,972,096/158,076
  6. Step 6: Final answer
    x = 499,740.45

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.