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Finding the Third Proportional to 211,393.13 and 327,182.63

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Solution

The third proportional to 211,393.13 and 327,182.63 is: 506,395.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,393.13 : 327,182.63 = 327,182.63 : x
  2. Step 2: Convert to fraction form
    211,393.13/327,182.63 = 327,182.63/x
  3. Step 3: Cross multiply
    211,393.13x = 327,182.63 × 327,182.63
  4. Step 4: Simplify right side
    211,393.13x = 107,048,470,101.89
  5. Step 5: Solve for x
    x = 107,048,470,101.89/211,393.13
  6. Step 6: Final answer
    x = 506,395.23

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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.