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Finding the Third Proportional to 235,208 and 517,237

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Solution

The third proportional to 235,208 and 517,237 is: 1,137,436.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,208 : 517,237 = 517,237 : x
  2. Step 2: Convert to fraction form
    235,208/517,237 = 517,237/x
  3. Step 3: Cross multiply
    235,208x = 517,237 × 517,237
  4. Step 4: Simplify right side
    235,208x = 267,534,114,169
  5. Step 5: Solve for x
    x = 267,534,114,169/235,208
  6. Step 6: Final answer
    x = 1,137,436.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.