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Finding the Third Proportional to 182,102.63 and 275,693.63

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Solution

The third proportional to 182,102.63 and 275,693.63 is: 417,385.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,102.63 : 275,693.63 = 275,693.63 : x
  2. Step 2: Convert to fraction form
    182,102.63/275,693.63 = 275,693.63/x
  3. Step 3: Cross multiply
    182,102.63x = 275,693.63 × 275,693.63
  4. Step 4: Simplify right side
    182,102.63x = 76,006,974,865.64
  5. Step 5: Solve for x
    x = 76,006,974,865.64/182,102.63
  6. Step 6: Final answer
    x = 417,385.39

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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.