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Finding the Third Proportional to 212,907 and 333,988.50

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Solution

The third proportional to 212,907 and 333,988.50 is: 523,929.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,907 : 333,988.50 = 333,988.50 : x
  2. Step 2: Convert to fraction form
    212,907/333,988.50 = 333,988.50/x
  3. Step 3: Cross multiply
    212,907x = 333,988.50 × 333,988.50
  4. Step 4: Simplify right side
    212,907x = 111,548,318,132.25
  5. Step 5: Solve for x
    x = 111,548,318,132.25/212,907
  6. Step 6: Final answer
    x = 523,929.78

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.