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Finding the Third Proportional to 197,548 and 282,313

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Solution

The third proportional to 197,548 and 282,313 is: 403,449.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,548 : 282,313 = 282,313 : x
  2. Step 2: Convert to fraction form
    197,548/282,313 = 282,313/x
  3. Step 3: Cross multiply
    197,548x = 282,313 × 282,313
  4. Step 4: Simplify right side
    197,548x = 79,700,629,969
  5. Step 5: Solve for x
    x = 79,700,629,969/197,548
  6. Step 6: Final answer
    x = 403,449.44

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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.