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Finding the Third Proportional to 194,530.50 and 423,144

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Solution

The third proportional to 194,530.50 and 423,144 is: 920,425.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,530.50 : 423,144 = 423,144 : x
  2. Step 2: Convert to fraction form
    194,530.50/423,144 = 423,144/x
  3. Step 3: Cross multiply
    194,530.50x = 423,144 × 423,144
  4. Step 4: Simplify right side
    194,530.50x = 179,050,844,736
  5. Step 5: Solve for x
    x = 179,050,844,736/194,530.50
  6. Step 6: Final answer
    x = 920,425.56

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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.