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Finding the Third Proportional to 140,654 and 308,011

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Solution

The third proportional to 140,654 and 308,011 is: 674,497.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,654 : 308,011 = 308,011 : x
  2. Step 2: Convert to fraction form
    140,654/308,011 = 308,011/x
  3. Step 3: Cross multiply
    140,654x = 308,011 × 308,011
  4. Step 4: Simplify right side
    140,654x = 94,870,776,121
  5. Step 5: Solve for x
    x = 94,870,776,121/140,654
  6. Step 6: Final answer
    x = 674,497.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.