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Finding the Third Proportional to 137,252.25 and 297,416.25

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Solution

The third proportional to 137,252.25 and 297,416.25 is: 644,480.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,252.25 : 297,416.25 = 297,416.25 : x
  2. Step 2: Convert to fraction form
    137,252.25/297,416.25 = 297,416.25/x
  3. Step 3: Cross multiply
    137,252.25x = 297,416.25 × 297,416.25
  4. Step 4: Simplify right side
    137,252.25x = 88,456,425,764.06
  5. Step 5: Solve for x
    x = 88,456,425,764.06/137,252.25
  6. Step 6: Final answer
    x = 644,480.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.