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Finding the Third Proportional to 200,178 and 435,203

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Solution

The third proportional to 200,178 and 435,203 is: 946,166.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,178 : 435,203 = 435,203 : x
  2. Step 2: Convert to fraction form
    200,178/435,203 = 435,203/x
  3. Step 3: Cross multiply
    200,178x = 435,203 × 435,203
  4. Step 4: Simplify right side
    200,178x = 189,401,651,209
  5. Step 5: Solve for x
    x = 189,401,651,209/200,178
  6. Step 6: Final answer
    x = 946,166.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.