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Finding the Third Proportional to 140,202 and 300,084

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Solution

The third proportional to 140,202 and 300,084 is: 642,290.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,202 : 300,084 = 300,084 : x
  2. Step 2: Convert to fraction form
    140,202/300,084 = 300,084/x
  3. Step 3: Cross multiply
    140,202x = 300,084 × 300,084
  4. Step 4: Simplify right side
    140,202x = 90,050,407,056
  5. Step 5: Solve for x
    x = 90,050,407,056/140,202
  6. Step 6: Final answer
    x = 642,290.46

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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.