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Finding the Third Proportional to 166,528 and 253,938

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Solution

The third proportional to 166,528 and 253,938 is: 387,229.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,528 : 253,938 = 253,938 : x
  2. Step 2: Convert to fraction form
    166,528/253,938 = 253,938/x
  3. Step 3: Cross multiply
    166,528x = 253,938 × 253,938
  4. Step 4: Simplify right side
    166,528x = 64,484,507,844
  5. Step 5: Solve for x
    x = 64,484,507,844/166,528
  6. Step 6: Final answer
    x = 387,229.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.