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Finding the Third Proportional to 161,059.50 and 342,922.50

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Solution

The third proportional to 161,059.50 and 342,922.50 is: 730,139.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,059.50 : 342,922.50 = 342,922.50 : x
  2. Step 2: Convert to fraction form
    161,059.50/342,922.50 = 342,922.50/x
  3. Step 3: Cross multiply
    161,059.50x = 342,922.50 × 342,922.50
  4. Step 4: Simplify right side
    161,059.50x = 117,595,841,006.25
  5. Step 5: Solve for x
    x = 117,595,841,006.25/161,059.50
  6. Step 6: Final answer
    x = 730,139.12

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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.