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Finding the Third Proportional to 235,072.13 and 306,225.56

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Solution

The third proportional to 235,072.13 and 306,225.56 is: 398,916.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,072.13 : 306,225.56 = 306,225.56 : x
  2. Step 2: Convert to fraction form
    235,072.13/306,225.56 = 306,225.56/x
  3. Step 3: Cross multiply
    235,072.13x = 306,225.56 × 306,225.56
  4. Step 4: Simplify right side
    235,072.13x = 93,774,095,128.44
  5. Step 5: Solve for x
    x = 93,774,095,128.44/235,072.13
  6. Step 6: Final answer
    x = 398,916.27

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.