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Finding the Third Proportional to 142,517 and 301,054

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Solution

The third proportional to 142,517 and 301,054 is: 635,948.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,517 : 301,054 = 301,054 : x
  2. Step 2: Convert to fraction form
    142,517/301,054 = 301,054/x
  3. Step 3: Cross multiply
    142,517x = 301,054 × 301,054
  4. Step 4: Simplify right side
    142,517x = 90,633,510,916
  5. Step 5: Solve for x
    x = 90,633,510,916/142,517
  6. Step 6: Final answer
    x = 635,948.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.