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Finding the Third Proportional to 197,527 and 298,010

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Solution

The third proportional to 197,527 and 298,010 is: 449,609.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,527 : 298,010 = 298,010 : x
  2. Step 2: Convert to fraction form
    197,527/298,010 = 298,010/x
  3. Step 3: Cross multiply
    197,527x = 298,010 × 298,010
  4. Step 4: Simplify right side
    197,527x = 88,809,960,100
  5. Step 5: Solve for x
    x = 88,809,960,100/197,527
  6. Step 6: Final answer
    x = 449,609.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.