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Finding the Third Proportional to 212,598 and 329,166

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Solution

The third proportional to 212,598 and 329,166 is: 509,648.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,598 : 329,166 = 329,166 : x
  2. Step 2: Convert to fraction form
    212,598/329,166 = 329,166/x
  3. Step 3: Cross multiply
    212,598x = 329,166 × 329,166
  4. Step 4: Simplify right side
    212,598x = 108,350,255,556
  5. Step 5: Solve for x
    x = 108,350,255,556/212,598
  6. Step 6: Final answer
    x = 509,648.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.