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Finding the Third Proportional to 210,843 and 326,116.13

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Solution

The third proportional to 210,843 and 326,116.13 is: 504,411.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,843 : 326,116.13 = 326,116.13 : x
  2. Step 2: Convert to fraction form
    210,843/326,116.13 = 326,116.13/x
  3. Step 3: Cross multiply
    210,843x = 326,116.13 × 326,116.13
  4. Step 4: Simplify right side
    210,843x = 106,351,726,985.02
  5. Step 5: Solve for x
    x = 106,351,726,985.02/210,843
  6. Step 6: Final answer
    x = 504,411.94

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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.