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Finding the Third Proportional to 183,315 and 276,141.75

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Solution

The third proportional to 183,315 and 276,141.75 is: 415,973.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,315 : 276,141.75 = 276,141.75 : x
  2. Step 2: Convert to fraction form
    183,315/276,141.75 = 276,141.75/x
  3. Step 3: Cross multiply
    183,315x = 276,141.75 × 276,141.75
  4. Step 4: Simplify right side
    183,315x = 76,254,266,093.06
  5. Step 5: Solve for x
    x = 76,254,266,093.06/183,315
  6. Step 6: Final answer
    x = 415,973.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.