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Finding the Third Proportional to 209,398.50 and 333,522

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Solution

The third proportional to 209,398.50 and 333,522 is: 531,221.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,398.50 : 333,522 = 333,522 : x
  2. Step 2: Convert to fraction form
    209,398.50/333,522 = 333,522/x
  3. Step 3: Cross multiply
    209,398.50x = 333,522 × 333,522
  4. Step 4: Simplify right side
    209,398.50x = 111,236,924,484
  5. Step 5: Solve for x
    x = 111,236,924,484/209,398.50
  6. Step 6: Final answer
    x = 531,221.21

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.