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Finding the Third Proportional to 161,208 and 254,178

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Solution

The third proportional to 161,208 and 254,178 is: 400,764.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,208 : 254,178 = 254,178 : x
  2. Step 2: Convert to fraction form
    161,208/254,178 = 254,178/x
  3. Step 3: Cross multiply
    161,208x = 254,178 × 254,178
  4. Step 4: Simplify right side
    161,208x = 64,606,455,684
  5. Step 5: Solve for x
    x = 64,606,455,684/161,208
  6. Step 6: Final answer
    x = 400,764.58

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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.