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Finding the Third Proportional to 174,208.22 and 245,331.28

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Solution

The third proportional to 174,208.22 and 245,331.28 is: 345,491.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,208.22 : 245,331.28 = 245,331.28 : x
  2. Step 2: Convert to fraction form
    174,208.22/245,331.28 = 245,331.28/x
  3. Step 3: Cross multiply
    174,208.22x = 245,331.28 × 245,331.28
  4. Step 4: Simplify right side
    174,208.22x = 60,187,437,559.77
  5. Step 5: Solve for x
    x = 60,187,437,559.77/174,208.22
  6. Step 6: Final answer
    x = 345,491.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.