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Finding the Third Proportional to 178,429.50 and 262,713

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Solution

The third proportional to 178,429.50 and 262,713 is: 386,808.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,429.50 : 262,713 = 262,713 : x
  2. Step 2: Convert to fraction form
    178,429.50/262,713 = 262,713/x
  3. Step 3: Cross multiply
    178,429.50x = 262,713 × 262,713
  4. Step 4: Simplify right side
    178,429.50x = 69,018,120,369
  5. Step 5: Solve for x
    x = 69,018,120,369/178,429.50
  6. Step 6: Final answer
    x = 386,808.91

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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.