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Finding the Third Proportional to 196,129.50 and 303,070

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Solution

The third proportional to 196,129.50 and 303,070 is: 468,320.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,129.50 : 303,070 = 303,070 : x
  2. Step 2: Convert to fraction form
    196,129.50/303,070 = 303,070/x
  3. Step 3: Cross multiply
    196,129.50x = 303,070 × 303,070
  4. Step 4: Simplify right side
    196,129.50x = 91,851,424,900
  5. Step 5: Solve for x
    x = 91,851,424,900/196,129.50
  6. Step 6: Final answer
    x = 468,320.29

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.