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Finding the Third Proportional to 237,020 and 512,131

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Solution

The third proportional to 237,020 and 512,131 is: 1,106,565.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,020 : 512,131 = 512,131 : x
  2. Step 2: Convert to fraction form
    237,020/512,131 = 512,131/x
  3. Step 3: Cross multiply
    237,020x = 512,131 × 512,131
  4. Step 4: Simplify right side
    237,020x = 262,278,161,161
  5. Step 5: Solve for x
    x = 262,278,161,161/237,020
  6. Step 6: Final answer
    x = 1,106,565.53

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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.