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Finding the Third Proportional to 201,210 and 437,088

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Solution

The third proportional to 201,210 and 437,088 is: 949,485.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,210 : 437,088 = 437,088 : x
  2. Step 2: Convert to fraction form
    201,210/437,088 = 437,088/x
  3. Step 3: Cross multiply
    201,210x = 437,088 × 437,088
  4. Step 4: Simplify right side
    201,210x = 191,045,919,744
  5. Step 5: Solve for x
    x = 191,045,919,744/201,210
  6. Step 6: Final answer
    x = 949,485.21

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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.