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Finding the Third Proportional to 147,000 and 313,968

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Solution

The third proportional to 147,000 and 313,968 is: 670,584.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,000 : 313,968 = 313,968 : x
  2. Step 2: Convert to fraction form
    147,000/313,968 = 313,968/x
  3. Step 3: Cross multiply
    147,000x = 313,968 × 313,968
  4. Step 4: Simplify right side
    147,000x = 98,575,905,024
  5. Step 5: Solve for x
    x = 98,575,905,024/147,000
  6. Step 6: Final answer
    x = 670,584.39

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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.