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Finding the Third Proportional to 172,233 and 364,954.50

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Solution

The third proportional to 172,233 and 364,954.50 is: 773,323.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,233 : 364,954.50 = 364,954.50 : x
  2. Step 2: Convert to fraction form
    172,233/364,954.50 = 364,954.50/x
  3. Step 3: Cross multiply
    172,233x = 364,954.50 × 364,954.50
  4. Step 4: Simplify right side
    172,233x = 133,191,787,070.25
  5. Step 5: Solve for x
    x = 133,191,787,070.25/172,233
  6. Step 6: Final answer
    x = 773,323.27

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.