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Finding the Third Proportional to 160,868 and 254,937

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Solution

The third proportional to 160,868 and 254,937 is: 404,013.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,868 : 254,937 = 254,937 : x
  2. Step 2: Convert to fraction form
    160,868/254,937 = 254,937/x
  3. Step 3: Cross multiply
    160,868x = 254,937 × 254,937
  4. Step 4: Simplify right side
    160,868x = 64,992,873,969
  5. Step 5: Solve for x
    x = 64,992,873,969/160,868
  6. Step 6: Final answer
    x = 404,013.69

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.