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Finding the Third Proportional to 237,191 and 518,158

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Solution

The third proportional to 237,191 and 518,158 is: 1,131,947.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,191 : 518,158 = 518,158 : x
  2. Step 2: Convert to fraction form
    237,191/518,158 = 518,158/x
  3. Step 3: Cross multiply
    237,191x = 518,158 × 518,158
  4. Step 4: Simplify right side
    237,191x = 268,487,712,964
  5. Step 5: Solve for x
    x = 268,487,712,964/237,191
  6. Step 6: Final answer
    x = 1,131,947.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.