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Finding the Third Proportional to 245,764.13 and 330,100.31

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Solution

The third proportional to 245,764.13 and 330,100.31 is: 443,377.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,764.13 : 330,100.31 = 330,100.31 : x
  2. Step 2: Convert to fraction form
    245,764.13/330,100.31 = 330,100.31/x
  3. Step 3: Cross multiply
    245,764.13x = 330,100.31 × 330,100.31
  4. Step 4: Simplify right side
    245,764.13x = 108,966,216,312.60
  5. Step 5: Solve for x
    x = 108,966,216,312.60/245,764.13
  6. Step 6: Final answer
    x = 443,377.23

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.