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Finding the Third Proportional to 160,312 and 344,760

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Solution

The third proportional to 160,312 and 344,760 is: 741,425.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,312 : 344,760 = 344,760 : x
  2. Step 2: Convert to fraction form
    160,312/344,760 = 344,760/x
  3. Step 3: Cross multiply
    160,312x = 344,760 × 344,760
  4. Step 4: Simplify right side
    160,312x = 118,859,457,600
  5. Step 5: Solve for x
    x = 118,859,457,600/160,312
  6. Step 6: Final answer
    x = 741,425.83

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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.