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Finding the Third Proportional to 160,869 and 346,670

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Solution

The third proportional to 160,869 and 346,670 is: 747,068.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,869 : 346,670 = 346,670 : x
  2. Step 2: Convert to fraction form
    160,869/346,670 = 346,670/x
  3. Step 3: Cross multiply
    160,869x = 346,670 × 346,670
  4. Step 4: Simplify right side
    160,869x = 120,180,088,900
  5. Step 5: Solve for x
    x = 120,180,088,900/160,869
  6. Step 6: Final answer
    x = 747,068.04

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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.