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Finding the Third Proportional to 196,369 and 307,189.50

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Solution

The third proportional to 196,369 and 307,189.50 is: 480,551.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,369 : 307,189.50 = 307,189.50 : x
  2. Step 2: Convert to fraction form
    196,369/307,189.50 = 307,189.50/x
  3. Step 3: Cross multiply
    196,369x = 307,189.50 × 307,189.50
  4. Step 4: Simplify right side
    196,369x = 94,365,388,910.25
  5. Step 5: Solve for x
    x = 94,365,388,910.25/196,369
  6. Step 6: Final answer
    x = 480,551.35

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.