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Finding the Third Proportional to 160,345.69 and 345,546.56

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Solution

The third proportional to 160,345.69 and 345,546.56 is: 744,656.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,345.69 : 345,546.56 = 345,546.56 : x
  2. Step 2: Convert to fraction form
    160,345.69/345,546.56 = 345,546.56/x
  3. Step 3: Cross multiply
    160,345.69x = 345,546.56 × 345,546.56
  4. Step 4: Simplify right side
    160,345.69x = 119,402,426,855.57
  5. Step 5: Solve for x
    x = 119,402,426,855.57/160,345.69
  6. Step 6: Final answer
    x = 744,656.30

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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.