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Finding the Third Proportional to 201,996 and 299,088

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Solution

The third proportional to 201,996 and 299,088 is: 442,848.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,996 : 299,088 = 299,088 : x
  2. Step 2: Convert to fraction form
    201,996/299,088 = 299,088/x
  3. Step 3: Cross multiply
    201,996x = 299,088 × 299,088
  4. Step 4: Simplify right side
    201,996x = 89,453,631,744
  5. Step 5: Solve for x
    x = 89,453,631,744/201,996
  6. Step 6: Final answer
    x = 442,848.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.