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Finding the Third Proportional to 194,071.50 and 322,069.50

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Solution

The third proportional to 194,071.50 and 322,069.50 is: 534,487.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,071.50 : 322,069.50 = 322,069.50 : x
  2. Step 2: Convert to fraction form
    194,071.50/322,069.50 = 322,069.50/x
  3. Step 3: Cross multiply
    194,071.50x = 322,069.50 × 322,069.50
  4. Step 4: Simplify right side
    194,071.50x = 103,728,762,830.25
  5. Step 5: Solve for x
    x = 103,728,762,830.25/194,071.50
  6. Step 6: Final answer
    x = 534,487.36

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.