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Finding the Third Proportional to 172,300.50 and 251,768.25

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Solution

The third proportional to 172,300.50 and 251,768.25 is: 367,887.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,300.50 : 251,768.25 = 251,768.25 : x
  2. Step 2: Convert to fraction form
    172,300.50/251,768.25 = 251,768.25/x
  3. Step 3: Cross multiply
    172,300.50x = 251,768.25 × 251,768.25
  4. Step 4: Simplify right side
    172,300.50x = 63,387,251,708.06
  5. Step 5: Solve for x
    x = 63,387,251,708.06/172,300.50
  6. Step 6: Final answer
    x = 367,887.80

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.