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Finding the Third Proportional to 74,826 and 160,605

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Solution

The third proportional to 74,826 and 160,605 is: 344,719.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,826 : 160,605 = 160,605 : x
  2. Step 2: Convert to fraction form
    74,826/160,605 = 160,605/x
  3. Step 3: Cross multiply
    74,826x = 160,605 × 160,605
  4. Step 4: Simplify right side
    74,826x = 25,793,966,025
  5. Step 5: Solve for x
    x = 25,793,966,025/74,826
  6. Step 6: Final answer
    x = 344,719.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.