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Finding the Third Proportional to 302,886 and 475,167

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Solution

The third proportional to 302,886 and 475,167 is: 745,441.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,886 : 475,167 = 475,167 : x
  2. Step 2: Convert to fraction form
    302,886/475,167 = 475,167/x
  3. Step 3: Cross multiply
    302,886x = 475,167 × 475,167
  4. Step 4: Simplify right side
    302,886x = 225,783,677,889
  5. Step 5: Solve for x
    x = 225,783,677,889/302,886
  6. Step 6: Final answer
    x = 745,441.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.