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Finding the Third Proportional to 209,047.50 and 308,650.50

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Solution

The third proportional to 209,047.50 and 308,650.50 is: 455,710.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,047.50 : 308,650.50 = 308,650.50 : x
  2. Step 2: Convert to fraction form
    209,047.50/308,650.50 = 308,650.50/x
  3. Step 3: Cross multiply
    209,047.50x = 308,650.50 × 308,650.50
  4. Step 4: Simplify right side
    209,047.50x = 95,265,131,150.25
  5. Step 5: Solve for x
    x = 95,265,131,150.25/209,047.50
  6. Step 6: Final answer
    x = 455,710.45

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.