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Finding the Third Proportional to 213,094.13 and 323,529.19

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Solution

The third proportional to 213,094.13 and 323,529.19 is: 491,196.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,094.13 : 323,529.19 = 323,529.19 : x
  2. Step 2: Convert to fraction form
    213,094.13/323,529.19 = 323,529.19/x
  3. Step 3: Cross multiply
    213,094.13x = 323,529.19 × 323,529.19
  4. Step 4: Simplify right side
    213,094.13x = 104,671,135,164.41
  5. Step 5: Solve for x
    x = 104,671,135,164.41/213,094.13
  6. Step 6: Final answer
    x = 491,196.72

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.