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Finding the Third Proportional to 197,262 and 288,510

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Solution

The third proportional to 197,262 and 288,510 is: 421,966.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,262 : 288,510 = 288,510 : x
  2. Step 2: Convert to fraction form
    197,262/288,510 = 288,510/x
  3. Step 3: Cross multiply
    197,262x = 288,510 × 288,510
  4. Step 4: Simplify right side
    197,262x = 83,238,020,100
  5. Step 5: Solve for x
    x = 83,238,020,100/197,262
  6. Step 6: Final answer
    x = 421,966.83

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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.