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Finding the Third Proportional to 239,200 and 503,184

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Solution

The third proportional to 239,200 and 503,184 is: 1,058,503.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,200 : 503,184 = 503,184 : x
  2. Step 2: Convert to fraction form
    239,200/503,184 = 503,184/x
  3. Step 3: Cross multiply
    239,200x = 503,184 × 503,184
  4. Step 4: Simplify right side
    239,200x = 253,194,137,856
  5. Step 5: Solve for x
    x = 253,194,137,856/239,200
  6. Step 6: Final answer
    x = 1,058,503.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.