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Finding the Third Proportional to 201,732 and 438,948

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Solution

The third proportional to 201,732 and 438,948 is: 955,105.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,732 : 438,948 = 438,948 : x
  2. Step 2: Convert to fraction form
    201,732/438,948 = 438,948/x
  3. Step 3: Cross multiply
    201,732x = 438,948 × 438,948
  4. Step 4: Simplify right side
    201,732x = 192,675,346,704
  5. Step 5: Solve for x
    x = 192,675,346,704/201,732
  6. Step 6: Final answer
    x = 955,105.52

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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.