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Finding the Third Proportional to 160,870 and 346,672

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Solution

The third proportional to 160,870 and 346,672 is: 747,072.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,870 : 346,672 = 346,672 : x
  2. Step 2: Convert to fraction form
    160,870/346,672 = 346,672/x
  3. Step 3: Cross multiply
    160,870x = 346,672 × 346,672
  4. Step 4: Simplify right side
    160,870x = 120,181,475,584
  5. Step 5: Solve for x
    x = 120,181,475,584/160,870
  6. Step 6: Final answer
    x = 747,072.02

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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.