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Finding the Third Proportional to 141,262 and 304,933

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Solution

The third proportional to 141,262 and 304,933 is: 658,238.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,262 : 304,933 = 304,933 : x
  2. Step 2: Convert to fraction form
    141,262/304,933 = 304,933/x
  3. Step 3: Cross multiply
    141,262x = 304,933 × 304,933
  4. Step 4: Simplify right side
    141,262x = 92,984,134,489
  5. Step 5: Solve for x
    x = 92,984,134,489/141,262
  6. Step 6: Final answer
    x = 658,238.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.