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Finding the Third Proportional to 196,036 and 425,263

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Solution

The third proportional to 196,036 and 425,263 is: 922,527.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,036 : 425,263 = 425,263 : x
  2. Step 2: Convert to fraction form
    196,036/425,263 = 425,263/x
  3. Step 3: Cross multiply
    196,036x = 425,263 × 425,263
  4. Step 4: Simplify right side
    196,036x = 180,848,619,169
  5. Step 5: Solve for x
    x = 180,848,619,169/196,036
  6. Step 6: Final answer
    x = 922,527.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.