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Finding the Third Proportional to 299,726 and 329,614

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Solution

The third proportional to 299,726 and 329,614 is: 362,482.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,726 : 329,614 = 329,614 : x
  2. Step 2: Convert to fraction form
    299,726/329,614 = 329,614/x
  3. Step 3: Cross multiply
    299,726x = 329,614 × 329,614
  4. Step 4: Simplify right side
    299,726x = 108,645,388,996
  5. Step 5: Solve for x
    x = 108,645,388,996/299,726
  6. Step 6: Final answer
    x = 362,482.36

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.