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Finding the Third Proportional to 248,940 and 540,162

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Solution

The third proportional to 248,940 and 540,162 is: 1,172,069.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,940 : 540,162 = 540,162 : x
  2. Step 2: Convert to fraction form
    248,940/540,162 = 540,162/x
  3. Step 3: Cross multiply
    248,940x = 540,162 × 540,162
  4. Step 4: Simplify right side
    248,940x = 291,774,986,244
  5. Step 5: Solve for x
    x = 291,774,986,244/248,940
  6. Step 6: Final answer
    x = 1,172,069.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.