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Finding the Third Proportional to 144,639 and 311,475

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Solution

The third proportional to 144,639 and 311,475 is: 670,750.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,639 : 311,475 = 311,475 : x
  2. Step 2: Convert to fraction form
    144,639/311,475 = 311,475/x
  3. Step 3: Cross multiply
    144,639x = 311,475 × 311,475
  4. Step 4: Simplify right side
    144,639x = 97,016,675,625
  5. Step 5: Solve for x
    x = 97,016,675,625/144,639
  6. Step 6: Final answer
    x = 670,750.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.