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Finding the Third Proportional to 163,086.75 and 248,846.63

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Solution

The third proportional to 163,086.75 and 248,846.63 is: 379,703.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,086.75 : 248,846.63 = 248,846.63 : x
  2. Step 2: Convert to fraction form
    163,086.75/248,846.63 = 248,846.63/x
  3. Step 3: Cross multiply
    163,086.75x = 248,846.63 × 248,846.63
  4. Step 4: Simplify right side
    163,086.75x = 61,924,642,773.89
  5. Step 5: Solve for x
    x = 61,924,642,773.89/163,086.75
  6. Step 6: Final answer
    x = 379,703.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.