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Finding the Third Proportional to 140,548.92 and 306,043.31

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Solution

The third proportional to 140,548.92 and 306,043.31 is: 666,405.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,548.92 : 306,043.31 = 306,043.31 : x
  2. Step 2: Convert to fraction form
    140,548.92/306,043.31 = 306,043.31/x
  3. Step 3: Cross multiply
    140,548.92x = 306,043.31 × 306,043.31
  4. Step 4: Simplify right side
    140,548.92x = 93,662,509,125.97
  5. Step 5: Solve for x
    x = 93,662,509,125.97/140,548.92
  6. Step 6: Final answer
    x = 666,405.03

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Why These Related Problems?

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