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Finding the Third Proportional to 147,056 and 311,444

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Solution

The third proportional to 147,056 and 311,444 is: 659,594.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,056 : 311,444 = 311,444 : x
  2. Step 2: Convert to fraction form
    147,056/311,444 = 311,444/x
  3. Step 3: Cross multiply
    147,056x = 311,444 × 311,444
  4. Step 4: Simplify right side
    147,056x = 96,997,365,136
  5. Step 5: Solve for x
    x = 96,997,365,136/147,056
  6. Step 6: Final answer
    x = 659,594.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.