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Finding the Third Proportional to 250,103 and 546,124

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Solution

The third proportional to 250,103 and 546,124 is: 1,192,514.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,103 : 546,124 = 546,124 : x
  2. Step 2: Convert to fraction form
    250,103/546,124 = 546,124/x
  3. Step 3: Cross multiply
    250,103x = 546,124 × 546,124
  4. Step 4: Simplify right side
    250,103x = 298,251,423,376
  5. Step 5: Solve for x
    x = 298,251,423,376/250,103
  6. Step 6: Final answer
    x = 1,192,514.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.