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Finding the Third Proportional to 175,091.63 and 253,342.69

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Solution

The third proportional to 175,091.63 and 253,342.69 is: 366,565.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,091.63 : 253,342.69 = 253,342.69 : x
  2. Step 2: Convert to fraction form
    175,091.63/253,342.69 = 253,342.69/x
  3. Step 3: Cross multiply
    175,091.63x = 253,342.69 × 253,342.69
  4. Step 4: Simplify right side
    175,091.63x = 64,182,517,309.72
  5. Step 5: Solve for x
    x = 64,182,517,309.72/175,091.63
  6. Step 6: Final answer
    x = 366,565.32

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.