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Finding the Third Proportional to 119,234 and 190,515

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Solution

The third proportional to 119,234 and 190,515 is: 304,409.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,234 : 190,515 = 190,515 : x
  2. Step 2: Convert to fraction form
    119,234/190,515 = 190,515/x
  3. Step 3: Cross multiply
    119,234x = 190,515 × 190,515
  4. Step 4: Simplify right side
    119,234x = 36,295,965,225
  5. Step 5: Solve for x
    x = 36,295,965,225/119,234
  6. Step 6: Final answer
    x = 304,409.52

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.