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Finding the Third Proportional to 178,207.50 and 235,557.75

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Solution

The third proportional to 178,207.50 and 235,557.75 is: 311,364.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,207.50 : 235,557.75 = 235,557.75 : x
  2. Step 2: Convert to fraction form
    178,207.50/235,557.75 = 235,557.75/x
  3. Step 3: Cross multiply
    178,207.50x = 235,557.75 × 235,557.75
  4. Step 4: Simplify right side
    178,207.50x = 55,487,453,585.06
  5. Step 5: Solve for x
    x = 55,487,453,585.06/178,207.50
  6. Step 6: Final answer
    x = 311,364.30

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.