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Finding the Third Proportional to 194,595.75 and 248,649.75

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Solution

The third proportional to 194,595.75 and 248,649.75 is: 317,718.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,595.75 : 248,649.75 = 248,649.75 : x
  2. Step 2: Convert to fraction form
    194,595.75/248,649.75 = 248,649.75/x
  3. Step 3: Cross multiply
    194,595.75x = 248,649.75 × 248,649.75
  4. Step 4: Simplify right side
    194,595.75x = 61,826,698,175.06
  5. Step 5: Solve for x
    x = 61,826,698,175.06/194,595.75
  6. Step 6: Final answer
    x = 317,718.65

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.