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Finding the Third Proportional to 155,644.13 and 340,120.13

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Solution

The third proportional to 155,644.13 and 340,120.13 is: 743,244.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,644.13 : 340,120.13 = 340,120.13 : x
  2. Step 2: Convert to fraction form
    155,644.13/340,120.13 = 340,120.13/x
  3. Step 3: Cross multiply
    155,644.13x = 340,120.13 × 340,120.13
  4. Step 4: Simplify right side
    155,644.13x = 115,681,699,430.02
  5. Step 5: Solve for x
    x = 115,681,699,430.02/155,644.13
  6. Step 6: Final answer
    x = 743,244.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.