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Finding the Third Proportional to 201,210 and 434,034

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Solution

The third proportional to 201,210 and 434,034 is: 936,263.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,210 : 434,034 = 434,034 : x
  2. Step 2: Convert to fraction form
    201,210/434,034 = 434,034/x
  3. Step 3: Cross multiply
    201,210x = 434,034 × 434,034
  4. Step 4: Simplify right side
    201,210x = 188,385,513,156
  5. Step 5: Solve for x
    x = 188,385,513,156/201,210
  6. Step 6: Final answer
    x = 936,263.17

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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.