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Finding the Third Proportional to 170,133.75 and 251,319.75

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Solution

The third proportional to 170,133.75 and 251,319.75 is: 371,246.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,133.75 : 251,319.75 = 251,319.75 : x
  2. Step 2: Convert to fraction form
    170,133.75/251,319.75 = 251,319.75/x
  3. Step 3: Cross multiply
    170,133.75x = 251,319.75 × 251,319.75
  4. Step 4: Simplify right side
    170,133.75x = 63,161,616,740.06
  5. Step 5: Solve for x
    x = 63,161,616,740.06/170,133.75
  6. Step 6: Final answer
    x = 371,246.84

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.