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Finding the Third Proportional to 248,162 and 538,312

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Solution

The third proportional to 248,162 and 538,312 is: 1,167,704.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,162 : 538,312 = 538,312 : x
  2. Step 2: Convert to fraction form
    248,162/538,312 = 538,312/x
  3. Step 3: Cross multiply
    248,162x = 538,312 × 538,312
  4. Step 4: Simplify right side
    248,162x = 289,779,809,344
  5. Step 5: Solve for x
    x = 289,779,809,344/248,162
  6. Step 6: Final answer
    x = 1,167,704.20

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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.