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Finding the Third Proportional to 197,270 and 282,088

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Solution

The third proportional to 197,270 and 282,088 is: 403,374.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,270 : 282,088 = 282,088 : x
  2. Step 2: Convert to fraction form
    197,270/282,088 = 282,088/x
  3. Step 3: Cross multiply
    197,270x = 282,088 × 282,088
  4. Step 4: Simplify right side
    197,270x = 79,573,639,744
  5. Step 5: Solve for x
    x = 79,573,639,744/197,270
  6. Step 6: Final answer
    x = 403,374.26

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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.