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Finding the Third Proportional to 237,741 and 518,130

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Solution

The third proportional to 237,741 and 518,130 is: 1,129,206.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,741 : 518,130 = 518,130 : x
  2. Step 2: Convert to fraction form
    237,741/518,130 = 518,130/x
  3. Step 3: Cross multiply
    237,741x = 518,130 × 518,130
  4. Step 4: Simplify right side
    237,741x = 268,458,696,900
  5. Step 5: Solve for x
    x = 268,458,696,900/237,741
  6. Step 6: Final answer
    x = 1,129,206.56

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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.