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Finding the Third Proportional to 230,913 and 450,161

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Solution

The third proportional to 230,913 and 450,161 is: 877,581.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,913 : 450,161 = 450,161 : x
  2. Step 2: Convert to fraction form
    230,913/450,161 = 450,161/x
  3. Step 3: Cross multiply
    230,913x = 450,161 × 450,161
  4. Step 4: Simplify right side
    230,913x = 202,644,925,921
  5. Step 5: Solve for x
    x = 202,644,925,921/230,913
  6. Step 6: Final answer
    x = 877,581.28

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.