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Finding the Third Proportional to 197,526 and 282,259

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Solution

The third proportional to 197,526 and 282,259 is: 403,340.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,526 : 282,259 = 282,259 : x
  2. Step 2: Convert to fraction form
    197,526/282,259 = 282,259/x
  3. Step 3: Cross multiply
    197,526x = 282,259 × 282,259
  4. Step 4: Simplify right side
    197,526x = 79,670,143,081
  5. Step 5: Solve for x
    x = 79,670,143,081/197,526
  6. Step 6: Final answer
    x = 403,340.03

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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.