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Finding the Third Proportional to 119,137 and 238,262

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Solution

The third proportional to 119,137 and 238,262 is: 476,500.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,137 : 238,262 = 238,262 : x
  2. Step 2: Convert to fraction form
    119,137/238,262 = 238,262/x
  3. Step 3: Cross multiply
    119,137x = 238,262 × 238,262
  4. Step 4: Simplify right side
    119,137x = 56,768,780,644
  5. Step 5: Solve for x
    x = 56,768,780,644/119,137
  6. Step 6: Final answer
    x = 476,500.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.