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Finding the Third Proportional to 273,252 and 382,111.50

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Solution

The third proportional to 273,252 and 382,111.50 is: 534,338.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,252 : 382,111.50 = 382,111.50 : x
  2. Step 2: Convert to fraction form
    273,252/382,111.50 = 382,111.50/x
  3. Step 3: Cross multiply
    273,252x = 382,111.50 × 382,111.50
  4. Step 4: Simplify right side
    273,252x = 146,009,198,432.25
  5. Step 5: Solve for x
    x = 146,009,198,432.25/273,252
  6. Step 6: Final answer
    x = 534,338.99

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