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Finding the Third Proportional to 197,430 and 288,741

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Solution

The third proportional to 197,430 and 288,741 is: 422,283.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,430 : 288,741 = 288,741 : x
  2. Step 2: Convert to fraction form
    197,430/288,741 = 288,741/x
  3. Step 3: Cross multiply
    197,430x = 288,741 × 288,741
  4. Step 4: Simplify right side
    197,430x = 83,371,365,081
  5. Step 5: Solve for x
    x = 83,371,365,081/197,430
  6. Step 6: Final answer
    x = 422,283.16

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.