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Finding the Third Proportional to 144,896 and 307,234

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Solution

The third proportional to 144,896 and 307,234 is: 651,451.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,896 : 307,234 = 307,234 : x
  2. Step 2: Convert to fraction form
    144,896/307,234 = 307,234/x
  3. Step 3: Cross multiply
    144,896x = 307,234 × 307,234
  4. Step 4: Simplify right side
    144,896x = 94,392,730,756
  5. Step 5: Solve for x
    x = 94,392,730,756/144,896
  6. Step 6: Final answer
    x = 651,451.60

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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.