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Finding the Third Proportional to 197,381.02 and 282,263.96

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Solution

The third proportional to 197,381.02 and 282,263.96 is: 403,650.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,381.02 : 282,263.96 = 282,263.96 : x
  2. Step 2: Convert to fraction form
    197,381.02/282,263.96 = 282,263.96/x
  3. Step 3: Cross multiply
    197,381.02x = 282,263.96 × 282,263.96
  4. Step 4: Simplify right side
    197,381.02x = 79,672,942,541.54
  5. Step 5: Solve for x
    x = 79,672,942,541.54/197,381.02
  6. Step 6: Final answer
    x = 403,650.47

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Why These Related Problems?

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