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Finding the Third Proportional to 338,170 and 506,184

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Solution

The third proportional to 338,170 and 506,184 is: 757,672.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,170 : 506,184 = 506,184 : x
  2. Step 2: Convert to fraction form
    338,170/506,184 = 506,184/x
  3. Step 3: Cross multiply
    338,170x = 506,184 × 506,184
  4. Step 4: Simplify right side
    338,170x = 256,222,241,856
  5. Step 5: Solve for x
    x = 256,222,241,856/338,170
  6. Step 6: Final answer
    x = 757,672.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.