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Finding the Third Proportional to 204,314 and 433,200

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Solution

The third proportional to 204,314 and 433,200 is: 918,499.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,314 : 433,200 = 433,200 : x
  2. Step 2: Convert to fraction form
    204,314/433,200 = 433,200/x
  3. Step 3: Cross multiply
    204,314x = 433,200 × 433,200
  4. Step 4: Simplify right side
    204,314x = 187,662,240,000
  5. Step 5: Solve for x
    x = 187,662,240,000/204,314
  6. Step 6: Final answer
    x = 918,499.17

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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.