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Finding the Third Proportional to 208,784.50 and 322,771.75

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Solution

The third proportional to 208,784.50 and 322,771.75 is: 498,991.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,784.50 : 322,771.75 = 322,771.75 : x
  2. Step 2: Convert to fraction form
    208,784.50/322,771.75 = 322,771.75/x
  3. Step 3: Cross multiply
    208,784.50x = 322,771.75 × 322,771.75
  4. Step 4: Simplify right side
    208,784.50x = 104,181,602,598.06
  5. Step 5: Solve for x
    x = 104,181,602,598.06/208,784.50
  6. Step 6: Final answer
    x = 498,991.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.