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Finding the Third Proportional to 196,461 and 300,328.50

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Solution

The third proportional to 196,461 and 300,328.50 is: 459,109.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,461 : 300,328.50 = 300,328.50 : x
  2. Step 2: Convert to fraction form
    196,461/300,328.50 = 300,328.50/x
  3. Step 3: Cross multiply
    196,461x = 300,328.50 × 300,328.50
  4. Step 4: Simplify right side
    196,461x = 90,197,207,912.25
  5. Step 5: Solve for x
    x = 90,197,207,912.25/196,461
  6. Step 6: Final answer
    x = 459,109.99

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.