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Finding the Third Proportional to 228,076.88 and 328,537.13

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Solution

The third proportional to 228,076.88 and 328,537.13 is: 473,246.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,076.88 : 328,537.13 = 328,537.13 : x
  2. Step 2: Convert to fraction form
    228,076.88/328,537.13 = 328,537.13/x
  3. Step 3: Cross multiply
    228,076.88x = 328,537.13 × 328,537.13
  4. Step 4: Simplify right side
    228,076.88x = 107,936,642,503.27
  5. Step 5: Solve for x
    x = 107,936,642,503.27/228,076.88
  6. Step 6: Final answer
    x = 473,246.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.