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Finding the Third Proportional to 120,402 and 183,807

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Solution

The third proportional to 120,402 and 183,807 is: 280,601.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,402 : 183,807 = 183,807 : x
  2. Step 2: Convert to fraction form
    120,402/183,807 = 183,807/x
  3. Step 3: Cross multiply
    120,402x = 183,807 × 183,807
  4. Step 4: Simplify right side
    120,402x = 33,785,013,249
  5. Step 5: Solve for x
    x = 33,785,013,249/120,402
  6. Step 6: Final answer
    x = 280,601.76

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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.