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Finding the Third Proportional to 210,278 and 326,505

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Solution

The third proportional to 210,278 and 326,505 is: 506,974.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,278 : 326,505 = 326,505 : x
  2. Step 2: Convert to fraction form
    210,278/326,505 = 326,505/x
  3. Step 3: Cross multiply
    210,278x = 326,505 × 326,505
  4. Step 4: Simplify right side
    210,278x = 106,605,515,025
  5. Step 5: Solve for x
    x = 106,605,515,025/210,278
  6. Step 6: Final answer
    x = 506,974.17

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