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Finding the Third Proportional to 164,913 and 252,703

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Solution

The third proportional to 164,913 and 252,703 is: 387,227.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,913 : 252,703 = 252,703 : x
  2. Step 2: Convert to fraction form
    164,913/252,703 = 252,703/x
  3. Step 3: Cross multiply
    164,913x = 252,703 × 252,703
  4. Step 4: Simplify right side
    164,913x = 63,858,806,209
  5. Step 5: Solve for x
    x = 63,858,806,209/164,913
  6. Step 6: Final answer
    x = 387,227.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.