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Finding the Third Proportional to 140,101 and 300,938

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Solution

The third proportional to 140,101 and 300,938 is: 646,417.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,101 : 300,938 = 300,938 : x
  2. Step 2: Convert to fraction form
    140,101/300,938 = 300,938/x
  3. Step 3: Cross multiply
    140,101x = 300,938 × 300,938
  4. Step 4: Simplify right side
    140,101x = 90,563,679,844
  5. Step 5: Solve for x
    x = 90,563,679,844/140,101
  6. Step 6: Final answer
    x = 646,417.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.