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Finding the Third Proportional to 140,728 and 301,140

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Solution

The third proportional to 140,728 and 301,140 is: 644,401.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,728 : 301,140 = 301,140 : x
  2. Step 2: Convert to fraction form
    140,728/301,140 = 301,140/x
  3. Step 3: Cross multiply
    140,728x = 301,140 × 301,140
  4. Step 4: Simplify right side
    140,728x = 90,685,299,600
  5. Step 5: Solve for x
    x = 90,685,299,600/140,728
  6. Step 6: Final answer
    x = 644,401.25

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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.