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Finding the Third Proportional to 193,139.25 and 259,899.75

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Solution

The third proportional to 193,139.25 and 259,899.75 is: 349,736.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,139.25 : 259,899.75 = 259,899.75 : x
  2. Step 2: Convert to fraction form
    193,139.25/259,899.75 = 259,899.75/x
  3. Step 3: Cross multiply
    193,139.25x = 259,899.75 × 259,899.75
  4. Step 4: Simplify right side
    193,139.25x = 67,547,880,050.06
  5. Step 5: Solve for x
    x = 67,547,880,050.06/193,139.25
  6. Step 6: Final answer
    x = 349,736.68

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.