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Finding the Third Proportional to 204,309.75 and 433,192.50

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Solution

The third proportional to 204,309.75 and 433,192.50 is: 918,486.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,309.75 : 433,192.50 = 433,192.50 : x
  2. Step 2: Convert to fraction form
    204,309.75/433,192.50 = 433,192.50/x
  3. Step 3: Cross multiply
    204,309.75x = 433,192.50 × 433,192.50
  4. Step 4: Simplify right side
    204,309.75x = 187,655,742,056.25
  5. Step 5: Solve for x
    x = 187,655,742,056.25/204,309.75
  6. Step 6: Final answer
    x = 918,486.47

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.