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Finding the Third Proportional to 139,136 and 300,960

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Solution

The third proportional to 139,136 and 300,960 is: 650,995.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,136 : 300,960 = 300,960 : x
  2. Step 2: Convert to fraction form
    139,136/300,960 = 300,960/x
  3. Step 3: Cross multiply
    139,136x = 300,960 × 300,960
  4. Step 4: Simplify right side
    139,136x = 90,576,921,600
  5. Step 5: Solve for x
    x = 90,576,921,600/139,136
  6. Step 6: Final answer
    x = 650,995.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.