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Finding the Third Proportional to 234,656 and 336,267

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Solution

The third proportional to 234,656 and 336,267 is: 481,877.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,656 : 336,267 = 336,267 : x
  2. Step 2: Convert to fraction form
    234,656/336,267 = 336,267/x
  3. Step 3: Cross multiply
    234,656x = 336,267 × 336,267
  4. Step 4: Simplify right side
    234,656x = 113,075,495,289
  5. Step 5: Solve for x
    x = 113,075,495,289/234,656
  6. Step 6: Final answer
    x = 481,877.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.