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Finding the Third Proportional to 144,589 and 306,674

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Solution

The third proportional to 144,589 and 306,674 is: 650,457.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,589 : 306,674 = 306,674 : x
  2. Step 2: Convert to fraction form
    144,589/306,674 = 306,674/x
  3. Step 3: Cross multiply
    144,589x = 306,674 × 306,674
  4. Step 4: Simplify right side
    144,589x = 94,048,942,276
  5. Step 5: Solve for x
    x = 94,048,942,276/144,589
  6. Step 6: Final answer
    x = 650,457.10

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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.