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Finding the Third Proportional to 147,414.94 and 319,858.88

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Solution

The third proportional to 147,414.94 and 319,858.88 is: 694,025.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,414.94 : 319,858.88 = 319,858.88 : x
  2. Step 2: Convert to fraction form
    147,414.94/319,858.88 = 319,858.88/x
  3. Step 3: Cross multiply
    147,414.94x = 319,858.88 × 319,858.88
  4. Step 4: Simplify right side
    147,414.94x = 102,309,699,916.27
  5. Step 5: Solve for x
    x = 102,309,699,916.27/147,414.94
  6. Step 6: Final answer
    x = 694,025.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.