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Finding the Third Proportional to 248,088 and 517,168

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Solution

The third proportional to 248,088 and 517,168 is: 1,078,096.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,088 : 517,168 = 517,168 : x
  2. Step 2: Convert to fraction form
    248,088/517,168 = 517,168/x
  3. Step 3: Cross multiply
    248,088x = 517,168 × 517,168
  4. Step 4: Simplify right side
    248,088x = 267,462,740,224
  5. Step 5: Solve for x
    x = 267,462,740,224/248,088
  6. Step 6: Final answer
    x = 1,078,096.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.