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Finding the Third Proportional to 164,048 and 252,996

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Solution

The third proportional to 164,048 and 252,996 is: 390,172.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,048 : 252,996 = 252,996 : x
  2. Step 2: Convert to fraction form
    164,048/252,996 = 252,996/x
  3. Step 3: Cross multiply
    164,048x = 252,996 × 252,996
  4. Step 4: Simplify right side
    164,048x = 64,006,976,016
  5. Step 5: Solve for x
    x = 64,006,976,016/164,048
  6. Step 6: Final answer
    x = 390,172.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.