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Finding the Third Proportional to 160,253 and 345,892.50

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Solution

The third proportional to 160,253 and 345,892.50 is: 746,579.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,253 : 345,892.50 = 345,892.50 : x
  2. Step 2: Convert to fraction form
    160,253/345,892.50 = 345,892.50/x
  3. Step 3: Cross multiply
    160,253x = 345,892.50 × 345,892.50
  4. Step 4: Simplify right side
    160,253x = 119,641,621,556.25
  5. Step 5: Solve for x
    x = 119,641,621,556.25/160,253
  6. Step 6: Final answer
    x = 746,579.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.