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Finding the Third Proportional to 237,186 and 518,148

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Solution

The third proportional to 237,186 and 518,148 is: 1,131,927.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,186 : 518,148 = 518,148 : x
  2. Step 2: Convert to fraction form
    237,186/518,148 = 518,148/x
  3. Step 3: Cross multiply
    237,186x = 518,148 × 518,148
  4. Step 4: Simplify right side
    237,186x = 268,477,349,904
  5. Step 5: Solve for x
    x = 268,477,349,904/237,186
  6. Step 6: Final answer
    x = 1,131,927.47

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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.