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Finding the Third Proportional to 74,275.10 and 160,390.44

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Solution

The third proportional to 74,275.10 and 160,390.44 is: 346,348.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,275.10 : 160,390.44 = 160,390.44 : x
  2. Step 2: Convert to fraction form
    74,275.10/160,390.44 = 160,390.44/x
  3. Step 3: Cross multiply
    74,275.10x = 160,390.44 × 160,390.44
  4. Step 4: Simplify right side
    74,275.10x = 25,725,093,694.49
  5. Step 5: Solve for x
    x = 25,725,093,694.49/74,275.10
  6. Step 6: Final answer
    x = 346,348.82

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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.