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Finding the Third Proportional to 178,098.75 and 250,808.06

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Solution

The third proportional to 178,098.75 and 250,808.06 is: 353,201.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,098.75 : 250,808.06 = 250,808.06 : x
  2. Step 2: Convert to fraction form
    178,098.75/250,808.06 = 250,808.06/x
  3. Step 3: Cross multiply
    178,098.75x = 250,808.06 × 250,808.06
  4. Step 4: Simplify right side
    178,098.75x = 62,904,684,215.00
  5. Step 5: Solve for x
    x = 62,904,684,215.00/178,098.75
  6. Step 6: Final answer
    x = 353,201.16

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.