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Finding the Third Proportional to 273,254 and 382,114

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Solution

The third proportional to 273,254 and 382,114 is: 534,342.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,254 : 382,114 = 382,114 : x
  2. Step 2: Convert to fraction form
    273,254/382,114 = 382,114/x
  3. Step 3: Cross multiply
    273,254x = 382,114 × 382,114
  4. Step 4: Simplify right side
    273,254x = 146,011,108,996
  5. Step 5: Solve for x
    x = 146,011,108,996/273,254
  6. Step 6: Final answer
    x = 534,342.07

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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.