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Finding the Third Proportional to 189,256 and 415,376

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Solution

The third proportional to 189,256 and 415,376 is: 911,660.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,256 : 415,376 = 415,376 : x
  2. Step 2: Convert to fraction form
    189,256/415,376 = 415,376/x
  3. Step 3: Cross multiply
    189,256x = 415,376 × 415,376
  4. Step 4: Simplify right side
    189,256x = 172,537,221,376
  5. Step 5: Solve for x
    x = 172,537,221,376/189,256
  6. Step 6: Final answer
    x = 911,660.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.