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Finding the Third Proportional to 161,026 and 346,852

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Solution

The third proportional to 161,026 and 346,852 is: 747,123.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,026 : 346,852 = 346,852 : x
  2. Step 2: Convert to fraction form
    161,026/346,852 = 346,852/x
  3. Step 3: Cross multiply
    161,026x = 346,852 × 346,852
  4. Step 4: Simplify right side
    161,026x = 120,306,309,904
  5. Step 5: Solve for x
    x = 120,306,309,904/161,026
  6. Step 6: Final answer
    x = 747,123.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.