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Finding the Third Proportional to 210,328 and 326,294

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Solution

The third proportional to 210,328 and 326,294 is: 506,198.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,328 : 326,294 = 326,294 : x
  2. Step 2: Convert to fraction form
    210,328/326,294 = 326,294/x
  3. Step 3: Cross multiply
    210,328x = 326,294 × 326,294
  4. Step 4: Simplify right side
    210,328x = 106,467,774,436
  5. Step 5: Solve for x
    x = 106,467,774,436/210,328
  6. Step 6: Final answer
    x = 506,198.77

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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.