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Finding the Third Proportional to 237,196 and 518,168

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Solution

The third proportional to 237,196 and 518,168 is: 1,131,967.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,196 : 518,168 = 518,168 : x
  2. Step 2: Convert to fraction form
    237,196/518,168 = 518,168/x
  3. Step 3: Cross multiply
    237,196x = 518,168 × 518,168
  4. Step 4: Simplify right side
    237,196x = 268,498,076,224
  5. Step 5: Solve for x
    x = 268,498,076,224/237,196
  6. Step 6: Final answer
    x = 1,131,967.13

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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.