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Finding the Third Proportional to 188,886.94 and 299,087.44

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Solution

The third proportional to 188,886.94 and 299,087.44 is: 473,581.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,886.94 : 299,087.44 = 299,087.44 : x
  2. Step 2: Convert to fraction form
    188,886.94/299,087.44 = 299,087.44/x
  3. Step 3: Cross multiply
    188,886.94x = 299,087.44 × 299,087.44
  4. Step 4: Simplify right side
    188,886.94x = 89,453,295,270.32
  5. Step 5: Solve for x
    x = 89,453,295,270.32/188,886.94
  6. Step 6: Final answer
    x = 473,581.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.