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Finding the Third Proportional to 197,446.50 and 282,152.25

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Solution

The third proportional to 197,446.50 and 282,152.25 is: 403,197.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,446.50 : 282,152.25 = 282,152.25 : x
  2. Step 2: Convert to fraction form
    197,446.50/282,152.25 = 282,152.25/x
  3. Step 3: Cross multiply
    197,446.50x = 282,152.25 × 282,152.25
  4. Step 4: Simplify right side
    197,446.50x = 79,609,892,180.06
  5. Step 5: Solve for x
    x = 79,609,892,180.06/197,446.50
  6. Step 6: Final answer
    x = 403,197.28

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.