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Finding the Third Proportional to 236,445 and 325,137

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Solution

The third proportional to 236,445 and 325,137 is: 447,097.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,445 : 325,137 = 325,137 : x
  2. Step 2: Convert to fraction form
    236,445/325,137 = 325,137/x
  3. Step 3: Cross multiply
    236,445x = 325,137 × 325,137
  4. Step 4: Simplify right side
    236,445x = 105,714,068,769
  5. Step 5: Solve for x
    x = 105,714,068,769/236,445
  6. Step 6: Final answer
    x = 447,097.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.