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Finding the Third Proportional to 204,315 and 433,203

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Solution

The third proportional to 204,315 and 433,203 is: 918,507.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,315 : 433,203 = 433,203 : x
  2. Step 2: Convert to fraction form
    204,315/433,203 = 433,203/x
  3. Step 3: Cross multiply
    204,315x = 433,203 × 433,203
  4. Step 4: Simplify right side
    204,315x = 187,664,839,209
  5. Step 5: Solve for x
    x = 187,664,839,209/204,315
  6. Step 6: Final answer
    x = 918,507.40

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Why These Related Problems?

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