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Finding the Third Proportional to 237,242 and 518,260

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Solution

The third proportional to 237,242 and 518,260 is: 1,132,149.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,242 : 518,260 = 518,260 : x
  2. Step 2: Convert to fraction form
    237,242/518,260 = 518,260/x
  3. Step 3: Cross multiply
    237,242x = 518,260 × 518,260
  4. Step 4: Simplify right side
    237,242x = 268,593,427,600
  5. Step 5: Solve for x
    x = 268,593,427,600/237,242
  6. Step 6: Final answer
    x = 1,132,149.57

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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.