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Finding the Third Proportional to 160,227 and 370,915

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Solution

The third proportional to 160,227 and 370,915 is: 858,643.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,227 : 370,915 = 370,915 : x
  2. Step 2: Convert to fraction form
    160,227/370,915 = 370,915/x
  3. Step 3: Cross multiply
    160,227x = 370,915 × 370,915
  4. Step 4: Simplify right side
    160,227x = 137,577,937,225
  5. Step 5: Solve for x
    x = 137,577,937,225/160,227
  6. Step 6: Final answer
    x = 858,643.91

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.