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Finding the Third Proportional to 160,236 and 370,935

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Solution

The third proportional to 160,236 and 370,935 is: 858,688.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,236 : 370,935 = 370,935 : x
  2. Step 2: Convert to fraction form
    160,236/370,935 = 370,935/x
  3. Step 3: Cross multiply
    160,236x = 370,935 × 370,935
  4. Step 4: Simplify right side
    160,236x = 137,592,774,225
  5. Step 5: Solve for x
    x = 137,592,774,225/160,236
  6. Step 6: Final answer
    x = 858,688.27

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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.