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Finding the Third Proportional to 178,463.25 and 262,760.63

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Solution

The third proportional to 178,463.25 and 262,760.63 is: 386,875.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,463.25 : 262,760.63 = 262,760.63 : x
  2. Step 2: Convert to fraction form
    178,463.25/262,760.63 = 262,760.63/x
  3. Step 3: Cross multiply
    178,463.25x = 262,760.63 × 262,760.63
  4. Step 4: Simplify right side
    178,463.25x = 69,043,146,050.39
  5. Step 5: Solve for x
    x = 69,043,146,050.39/178,463.25
  6. Step 6: Final answer
    x = 386,875.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.