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Finding the Third Proportional to 142,636 and 306,728

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Solution

The third proportional to 142,636 and 306,728 is: 659,595.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,636 : 306,728 = 306,728 : x
  2. Step 2: Convert to fraction form
    142,636/306,728 = 306,728/x
  3. Step 3: Cross multiply
    142,636x = 306,728 × 306,728
  4. Step 4: Simplify right side
    142,636x = 94,082,065,984
  5. Step 5: Solve for x
    x = 94,082,065,984/142,636
  6. Step 6: Final answer
    x = 659,595.52

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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.