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Finding the Third Proportional to 241,434 and 382,215

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Solution

The third proportional to 241,434 and 382,215 is: 605,085.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,434 : 382,215 = 382,215 : x
  2. Step 2: Convert to fraction form
    241,434/382,215 = 382,215/x
  3. Step 3: Cross multiply
    241,434x = 382,215 × 382,215
  4. Step 4: Simplify right side
    241,434x = 146,088,306,225
  5. Step 5: Solve for x
    x = 146,088,306,225/241,434
  6. Step 6: Final answer
    x = 605,085.89

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.