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Finding the Third Proportional to 172,695 and 229,540.50

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Solution

The third proportional to 172,695 and 229,540.50 is: 305,097.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,695 : 229,540.50 = 229,540.50 : x
  2. Step 2: Convert to fraction form
    172,695/229,540.50 = 229,540.50/x
  3. Step 3: Cross multiply
    172,695x = 229,540.50 × 229,540.50
  4. Step 4: Simplify right side
    172,695x = 52,688,841,140.25
  5. Step 5: Solve for x
    x = 52,688,841,140.25/172,695
  6. Step 6: Final answer
    x = 305,097.66

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.