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Finding the Third Proportional to 208,185 and 329,328

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Solution

The third proportional to 208,185 and 329,328 is: 520,964.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,185 : 329,328 = 329,328 : x
  2. Step 2: Convert to fraction form
    208,185/329,328 = 329,328/x
  3. Step 3: Cross multiply
    208,185x = 329,328 × 329,328
  4. Step 4: Simplify right side
    208,185x = 108,456,931,584
  5. Step 5: Solve for x
    x = 108,456,931,584/208,185
  6. Step 6: Final answer
    x = 520,964.20

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.