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Finding the Third Proportional to 221,397 and 310,671

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Solution

The third proportional to 221,397 and 310,671 is: 435,942.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,397 : 310,671 = 310,671 : x
  2. Step 2: Convert to fraction form
    221,397/310,671 = 310,671/x
  3. Step 3: Cross multiply
    221,397x = 310,671 × 310,671
  4. Step 4: Simplify right side
    221,397x = 96,516,470,241
  5. Step 5: Solve for x
    x = 96,516,470,241/221,397
  6. Step 6: Final answer
    x = 435,942.99

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.