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Finding the Third Proportional to 140,554 and 306,054

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Solution

The third proportional to 140,554 and 306,054 is: 666,427.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,554 : 306,054 = 306,054 : x
  2. Step 2: Convert to fraction form
    140,554/306,054 = 306,054/x
  3. Step 3: Cross multiply
    140,554x = 306,054 × 306,054
  4. Step 4: Simplify right side
    140,554x = 93,669,050,916
  5. Step 5: Solve for x
    x = 93,669,050,916/140,554
  6. Step 6: Final answer
    x = 666,427.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.