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Finding the Third Proportional to 212,608 and 328,992

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Solution

The third proportional to 212,608 and 328,992 is: 509,085.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,608 : 328,992 = 328,992 : x
  2. Step 2: Convert to fraction form
    212,608/328,992 = 328,992/x
  3. Step 3: Cross multiply
    212,608x = 328,992 × 328,992
  4. Step 4: Simplify right side
    212,608x = 108,235,736,064
  5. Step 5: Solve for x
    x = 108,235,736,064/212,608
  6. Step 6: Final answer
    x = 509,085.90

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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.