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Finding the Third Proportional to 197,322.75 and 282,127.22

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Solution

The third proportional to 197,322.75 and 282,127.22 is: 403,378.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,322.75 : 282,127.22 = 282,127.22 : x
  2. Step 2: Convert to fraction form
    197,322.75/282,127.22 = 282,127.22/x
  3. Step 3: Cross multiply
    197,322.75x = 282,127.22 × 282,127.22
  4. Step 4: Simplify right side
    197,322.75x = 79,595,767,559.61
  5. Step 5: Solve for x
    x = 79,595,767,559.61/197,322.75
  6. Step 6: Final answer
    x = 403,378.56

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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.