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Finding the Third Proportional to 160,743.75 and 343,631.75

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Solution

The third proportional to 160,743.75 and 343,631.75 is: 734,602.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,743.75 : 343,631.75 = 343,631.75 : x
  2. Step 2: Convert to fraction form
    160,743.75/343,631.75 = 343,631.75/x
  3. Step 3: Cross multiply
    160,743.75x = 343,631.75 × 343,631.75
  4. Step 4: Simplify right side
    160,743.75x = 118,082,779,608.06
  5. Step 5: Solve for x
    x = 118,082,779,608.06/160,743.75
  6. Step 6: Final answer
    x = 734,602.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.