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Finding the Third Proportional to 160,324 and 253,856

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Solution

The third proportional to 160,324 and 253,856 is: 401,953.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,324 : 253,856 = 253,856 : x
  2. Step 2: Convert to fraction form
    160,324/253,856 = 253,856/x
  3. Step 3: Cross multiply
    160,324x = 253,856 × 253,856
  4. Step 4: Simplify right side
    160,324x = 64,442,868,736
  5. Step 5: Solve for x
    x = 64,442,868,736/160,324
  6. Step 6: Final answer
    x = 401,953.97

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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.