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Finding the Third Proportional to 236,392 and 512,168

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Solution

The third proportional to 236,392 and 512,168 is: 1,109,665.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,392 : 512,168 = 512,168 : x
  2. Step 2: Convert to fraction form
    236,392/512,168 = 512,168/x
  3. Step 3: Cross multiply
    236,392x = 512,168 × 512,168
  4. Step 4: Simplify right side
    236,392x = 262,316,060,224
  5. Step 5: Solve for x
    x = 262,316,060,224/236,392
  6. Step 6: Final answer
    x = 1,109,665.56

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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.