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Finding the Third Proportional to 273,315 and 382,189.50

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Solution

The third proportional to 273,315 and 382,189.50 is: 534,433.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,315 : 382,189.50 = 382,189.50 : x
  2. Step 2: Convert to fraction form
    273,315/382,189.50 = 382,189.50/x
  3. Step 3: Cross multiply
    273,315x = 382,189.50 × 382,189.50
  4. Step 4: Simplify right side
    273,315x = 146,068,813,910.25
  5. Step 5: Solve for x
    x = 146,068,813,910.25/273,315
  6. Step 6: Final answer
    x = 534,433.95

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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.