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Finding the Third Proportional to 210,393 and 326,376

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Solution

The third proportional to 210,393 and 326,376 is: 506,296.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,393 : 326,376 = 326,376 : x
  2. Step 2: Convert to fraction form
    210,393/326,376 = 326,376/x
  3. Step 3: Cross multiply
    210,393x = 326,376 × 326,376
  4. Step 4: Simplify right side
    210,393x = 106,521,293,376
  5. Step 5: Solve for x
    x = 106,521,293,376/210,393
  6. Step 6: Final answer
    x = 506,296.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.