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Finding the Third Proportional to 164,512 and 341,471

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Solution

The third proportional to 164,512 and 341,471 is: 708,777.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,512 : 341,471 = 341,471 : x
  2. Step 2: Convert to fraction form
    164,512/341,471 = 341,471/x
  3. Step 3: Cross multiply
    164,512x = 341,471 × 341,471
  4. Step 4: Simplify right side
    164,512x = 116,602,443,841
  5. Step 5: Solve for x
    x = 116,602,443,841/164,512
  6. Step 6: Final answer
    x = 708,777.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.