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Finding the Third Proportional to 167,154 and 364,798.50

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Solution

The third proportional to 167,154 and 364,798.50 is: 796,139.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,154 : 364,798.50 = 364,798.50 : x
  2. Step 2: Convert to fraction form
    167,154/364,798.50 = 364,798.50/x
  3. Step 3: Cross multiply
    167,154x = 364,798.50 × 364,798.50
  4. Step 4: Simplify right side
    167,154x = 133,077,945,602.25
  5. Step 5: Solve for x
    x = 133,077,945,602.25/167,154
  6. Step 6: Final answer
    x = 796,139.76

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.