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Finding the Third Proportional to 196,931.25 and 431,608.50

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Solution

The third proportional to 196,931.25 and 431,608.50 is: 945,943.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,931.25 : 431,608.50 = 431,608.50 : x
  2. Step 2: Convert to fraction form
    196,931.25/431,608.50 = 431,608.50/x
  3. Step 3: Cross multiply
    196,931.25x = 431,608.50 × 431,608.50
  4. Step 4: Simplify right side
    196,931.25x = 186,285,897,272.25
  5. Step 5: Solve for x
    x = 186,285,897,272.25/196,931.25
  6. Step 6: Final answer
    x = 945,943.81

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.