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Finding the Third Proportional to 140,097 and 299,877

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Solution

The third proportional to 140,097 and 299,877 is: 641,885.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,097 : 299,877 = 299,877 : x
  2. Step 2: Convert to fraction form
    140,097/299,877 = 299,877/x
  3. Step 3: Cross multiply
    140,097x = 299,877 × 299,877
  4. Step 4: Simplify right side
    140,097x = 89,926,215,129
  5. Step 5: Solve for x
    x = 89,926,215,129/140,097
  6. Step 6: Final answer
    x = 641,885.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.