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Finding the Third Proportional to 183,501 and 281,083

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Solution

The third proportional to 183,501 and 281,083 is: 430,557.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,501 : 281,083 = 281,083 : x
  2. Step 2: Convert to fraction form
    183,501/281,083 = 281,083/x
  3. Step 3: Cross multiply
    183,501x = 281,083 × 281,083
  4. Step 4: Simplify right side
    183,501x = 79,007,652,889
  5. Step 5: Solve for x
    x = 79,007,652,889/183,501
  6. Step 6: Final answer
    x = 430,557.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.