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Finding the Third Proportional to 94,516 and 193,352

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Solution

The third proportional to 94,516 and 193,352 is: 395,541.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,516 : 193,352 = 193,352 : x
  2. Step 2: Convert to fraction form
    94,516/193,352 = 193,352/x
  3. Step 3: Cross multiply
    94,516x = 193,352 × 193,352
  4. Step 4: Simplify right side
    94,516x = 37,384,995,904
  5. Step 5: Solve for x
    x = 37,384,995,904/94,516
  6. Step 6: Final answer
    x = 395,541.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.