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Finding the Third Proportional to 203,499 and 293,584.50

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Solution

The third proportional to 203,499 and 293,584.50 is: 423,549.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,499 : 293,584.50 = 293,584.50 : x
  2. Step 2: Convert to fraction form
    203,499/293,584.50 = 293,584.50/x
  3. Step 3: Cross multiply
    203,499x = 293,584.50 × 293,584.50
  4. Step 4: Simplify right side
    203,499x = 86,191,858,640.25
  5. Step 5: Solve for x
    x = 86,191,858,640.25/203,499
  6. Step 6: Final answer
    x = 423,549.30

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.