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Finding the Third Proportional to 237,550 and 512,233

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Solution

The third proportional to 237,550 and 512,233 is: 1,104,536.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,550 : 512,233 = 512,233 : x
  2. Step 2: Convert to fraction form
    237,550/512,233 = 512,233/x
  3. Step 3: Cross multiply
    237,550x = 512,233 × 512,233
  4. Step 4: Simplify right side
    237,550x = 262,382,646,289
  5. Step 5: Solve for x
    x = 262,382,646,289/237,550
  6. Step 6: Final answer
    x = 1,104,536.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.