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Finding the Third Proportional to 243,804.50 and 323,501

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Solution

The third proportional to 243,804.50 and 323,501 is: 429,249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,804.50 : 323,501 = 323,501 : x
  2. Step 2: Convert to fraction form
    243,804.50/323,501 = 323,501/x
  3. Step 3: Cross multiply
    243,804.50x = 323,501 × 323,501
  4. Step 4: Simplify right side
    243,804.50x = 104,652,897,001
  5. Step 5: Solve for x
    x = 104,652,897,001/243,804.50
  6. Step 6: Final answer
    x = 429,249.24

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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.