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Finding the Third Proportional to 236,385 and 512,154

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Solution

The third proportional to 236,385 and 512,154 is: 1,109,637.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,385 : 512,154 = 512,154 : x
  2. Step 2: Convert to fraction form
    236,385/512,154 = 512,154/x
  3. Step 3: Cross multiply
    236,385x = 512,154 × 512,154
  4. Step 4: Simplify right side
    236,385x = 262,301,719,716
  5. Step 5: Solve for x
    x = 262,301,719,716/236,385
  6. Step 6: Final answer
    x = 1,109,637.75

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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.