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Finding the Third Proportional to 113,684 and 178,343

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Solution

The third proportional to 113,684 and 178,343 is: 279,777.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,684 : 178,343 = 178,343 : x
  2. Step 2: Convert to fraction form
    113,684/178,343 = 178,343/x
  3. Step 3: Cross multiply
    113,684x = 178,343 × 178,343
  4. Step 4: Simplify right side
    113,684x = 31,806,225,649
  5. Step 5: Solve for x
    x = 31,806,225,649/113,684
  6. Step 6: Final answer
    x = 279,777.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.