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Finding the Third Proportional to 137,057.06 and 298,940.63

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Solution

The third proportional to 137,057.06 and 298,940.63 is: 652,031.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,057.06 : 298,940.63 = 298,940.63 : x
  2. Step 2: Convert to fraction form
    137,057.06/298,940.63 = 298,940.63/x
  3. Step 3: Cross multiply
    137,057.06x = 298,940.63 × 298,940.63
  4. Step 4: Simplify right side
    137,057.06x = 89,365,497,275.39
  5. Step 5: Solve for x
    x = 89,365,497,275.39/137,057.06
  6. Step 6: Final answer
    x = 652,031.32

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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.