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Finding the Third Proportional to 201,141.50 and 434,186

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Solution

The third proportional to 201,141.50 and 434,186 is: 937,238.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,141.50 : 434,186 = 434,186 : x
  2. Step 2: Convert to fraction form
    201,141.50/434,186 = 434,186/x
  3. Step 3: Cross multiply
    201,141.50x = 434,186 × 434,186
  4. Step 4: Simplify right side
    201,141.50x = 188,517,482,596
  5. Step 5: Solve for x
    x = 188,517,482,596/201,141.50
  6. Step 6: Final answer
    x = 937,238.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.