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Finding the Third Proportional to 108,706 and 237,338

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Solution

The third proportional to 108,706 and 237,338 is: 518,180.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,706 : 237,338 = 237,338 : x
  2. Step 2: Convert to fraction form
    108,706/237,338 = 237,338/x
  3. Step 3: Cross multiply
    108,706x = 237,338 × 237,338
  4. Step 4: Simplify right side
    108,706x = 56,329,326,244
  5. Step 5: Solve for x
    x = 56,329,326,244/108,706
  6. Step 6: Final answer
    x = 518,180.47

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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.