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Finding the Third Proportional to 164,657 and 254,195

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Solution

The third proportional to 164,657 and 254,195 is: 392,422.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,657 : 254,195 = 254,195 : x
  2. Step 2: Convert to fraction form
    164,657/254,195 = 254,195/x
  3. Step 3: Cross multiply
    164,657x = 254,195 × 254,195
  4. Step 4: Simplify right side
    164,657x = 64,615,098,025
  5. Step 5: Solve for x
    x = 64,615,098,025/164,657
  6. Step 6: Final answer
    x = 392,422.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.