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Finding the Third Proportional to 273,254.25 and 382,113

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Solution

The third proportional to 273,254.25 and 382,113 is: 534,338.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,254.25 : 382,113 = 382,113 : x
  2. Step 2: Convert to fraction form
    273,254.25/382,113 = 382,113/x
  3. Step 3: Cross multiply
    273,254.25x = 382,113 × 382,113
  4. Step 4: Simplify right side
    273,254.25x = 146,010,344,769
  5. Step 5: Solve for x
    x = 146,010,344,769/273,254.25
  6. Step 6: Final answer
    x = 534,338.79

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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.