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Finding the Third Proportional to 160,217 and 345,765

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Solution

The third proportional to 160,217 and 345,765 is: 746,196.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,217 : 345,765 = 345,765 : x
  2. Step 2: Convert to fraction form
    160,217/345,765 = 345,765/x
  3. Step 3: Cross multiply
    160,217x = 345,765 × 345,765
  4. Step 4: Simplify right side
    160,217x = 119,553,435,225
  5. Step 5: Solve for x
    x = 119,553,435,225/160,217
  6. Step 6: Final answer
    x = 746,196.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.