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Finding the Third Proportional to 145,782 and 238,049

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Solution

The third proportional to 145,782 and 238,049 is: 388,712.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,782 : 238,049 = 238,049 : x
  2. Step 2: Convert to fraction form
    145,782/238,049 = 238,049/x
  3. Step 3: Cross multiply
    145,782x = 238,049 × 238,049
  4. Step 4: Simplify right side
    145,782x = 56,667,326,401
  5. Step 5: Solve for x
    x = 56,667,326,401/145,782
  6. Step 6: Final answer
    x = 388,712.78

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.