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Finding the Third Proportional to 175,062.09 and 270,368.72

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Solution

The third proportional to 175,062.09 and 270,368.72 is: 417,561.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,062.09 : 270,368.72 = 270,368.72 : x
  2. Step 2: Convert to fraction form
    175,062.09/270,368.72 = 270,368.72/x
  3. Step 3: Cross multiply
    175,062.09x = 270,368.72 × 270,368.72
  4. Step 4: Simplify right side
    175,062.09x = 73,099,244,078.52
  5. Step 5: Solve for x
    x = 73,099,244,078.52/175,062.09
  6. Step 6: Final answer
    x = 417,561.81

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.