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Finding the Third Proportional to 208,158 and 329,295

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Solution

The third proportional to 208,158 and 329,295 is: 520,927.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,158 : 329,295 = 329,295 : x
  2. Step 2: Convert to fraction form
    208,158/329,295 = 329,295/x
  3. Step 3: Cross multiply
    208,158x = 329,295 × 329,295
  4. Step 4: Simplify right side
    208,158x = 108,435,197,025
  5. Step 5: Solve for x
    x = 108,435,197,025/208,158
  6. Step 6: Final answer
    x = 520,927.36

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Why These Related Problems?

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