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Finding the Third Proportional to 243,811.69 and 323,508.94

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Solution

The third proportional to 243,811.69 and 323,508.94 is: 429,257.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,811.69 : 323,508.94 = 323,508.94 : x
  2. Step 2: Convert to fraction form
    243,811.69/323,508.94 = 323,508.94/x
  3. Step 3: Cross multiply
    243,811.69x = 323,508.94 × 323,508.94
  4. Step 4: Simplify right side
    243,811.69x = 104,658,032,642.38
  5. Step 5: Solve for x
    x = 104,658,032,642.38/243,811.69
  6. Step 6: Final answer
    x = 429,257.65

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.