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Finding the Third Proportional to 161,216 and 254,192

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Solution

The third proportional to 161,216 and 254,192 is: 400,788.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,216 : 254,192 = 254,192 : x
  2. Step 2: Convert to fraction form
    161,216/254,192 = 254,192/x
  3. Step 3: Cross multiply
    161,216x = 254,192 × 254,192
  4. Step 4: Simplify right side
    161,216x = 64,613,572,864
  5. Step 5: Solve for x
    x = 64,613,572,864/161,216
  6. Step 6: Final answer
    x = 400,788.84

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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.