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Finding the Third Proportional to 108,378 and 237,168

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Solution

The third proportional to 108,378 and 237,168 is: 519,004.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,378 : 237,168 = 237,168 : x
  2. Step 2: Convert to fraction form
    108,378/237,168 = 237,168/x
  3. Step 3: Cross multiply
    108,378x = 237,168 × 237,168
  4. Step 4: Simplify right side
    108,378x = 56,248,660,224
  5. Step 5: Solve for x
    x = 56,248,660,224/108,378
  6. Step 6: Final answer
    x = 519,004.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.