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Finding the Third Proportional to 120,784 and 256,184

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Solution

The third proportional to 120,784 and 256,184 is: 543,368.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,784 : 256,184 = 256,184 : x
  2. Step 2: Convert to fraction form
    120,784/256,184 = 256,184/x
  3. Step 3: Cross multiply
    120,784x = 256,184 × 256,184
  4. Step 4: Simplify right side
    120,784x = 65,630,241,856
  5. Step 5: Solve for x
    x = 65,630,241,856/120,784
  6. Step 6: Final answer
    x = 543,368.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.