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Finding the Third Proportional to 161,057 and 343,442.50

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Solution

The third proportional to 161,057 and 343,442.50 is: 732,366.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,057 : 343,442.50 = 343,442.50 : x
  2. Step 2: Convert to fraction form
    161,057/343,442.50 = 343,442.50/x
  3. Step 3: Cross multiply
    161,057x = 343,442.50 × 343,442.50
  4. Step 4: Simplify right side
    161,057x = 117,952,750,806.25
  5. Step 5: Solve for x
    x = 117,952,750,806.25/161,057
  6. Step 6: Final answer
    x = 732,366.50

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.