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Finding the Third Proportional to 197,326.50 and 279,222

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Solution

The third proportional to 197,326.50 and 279,222 is: 395,106.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,326.50 : 279,222 = 279,222 : x
  2. Step 2: Convert to fraction form
    197,326.50/279,222 = 279,222/x
  3. Step 3: Cross multiply
    197,326.50x = 279,222 × 279,222
  4. Step 4: Simplify right side
    197,326.50x = 77,964,925,284
  5. Step 5: Solve for x
    x = 77,964,925,284/197,326.50
  6. Step 6: Final answer
    x = 395,106.21

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.