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Finding the Third Proportional to 76,836.56 and 157,466.63

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Solution

The third proportional to 76,836.56 and 157,466.63 is: 322,707.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,836.56 : 157,466.63 = 157,466.63 : x
  2. Step 2: Convert to fraction form
    76,836.56/157,466.63 = 157,466.63/x
  3. Step 3: Cross multiply
    76,836.56x = 157,466.63 × 157,466.63
  4. Step 4: Simplify right side
    76,836.56x = 24,795,737,988.89
  5. Step 5: Solve for x
    x = 24,795,737,988.89/76,836.56
  6. Step 6: Final answer
    x = 322,707.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.