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Finding the Third Proportional to 209,430 and 280,921.50

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Solution

The third proportional to 209,430 and 280,921.50 is: 376,817.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,430 : 280,921.50 = 280,921.50 : x
  2. Step 2: Convert to fraction form
    209,430/280,921.50 = 280,921.50/x
  3. Step 3: Cross multiply
    209,430x = 280,921.50 × 280,921.50
  4. Step 4: Simplify right side
    209,430x = 78,916,889,162.25
  5. Step 5: Solve for x
    x = 78,916,889,162.25/209,430
  6. Step 6: Final answer
    x = 376,817.50

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.