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Finding the Third Proportional to 273,260 and 382,124

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Solution

The third proportional to 273,260 and 382,124 is: 534,358.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,260 : 382,124 = 382,124 : x
  2. Step 2: Convert to fraction form
    273,260/382,124 = 382,124/x
  3. Step 3: Cross multiply
    273,260x = 382,124 × 382,124
  4. Step 4: Simplify right side
    273,260x = 146,018,751,376
  5. Step 5: Solve for x
    x = 146,018,751,376/273,260
  6. Step 6: Final answer
    x = 534,358.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.