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Finding the Third Proportional to 201,675 and 438,910

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Solution

The third proportional to 201,675 and 438,910 is: 955,210.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,675 : 438,910 = 438,910 : x
  2. Step 2: Convert to fraction form
    201,675/438,910 = 438,910/x
  3. Step 3: Cross multiply
    201,675x = 438,910 × 438,910
  4. Step 4: Simplify right side
    201,675x = 192,641,988,100
  5. Step 5: Solve for x
    x = 192,641,988,100/201,675
  6. Step 6: Final answer
    x = 955,210.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.