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Finding the Third Proportional to 164,869 and 353,065

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Solution

The third proportional to 164,869 and 353,065 is: 756,084.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,869 : 353,065 = 353,065 : x
  2. Step 2: Convert to fraction form
    164,869/353,065 = 353,065/x
  3. Step 3: Cross multiply
    164,869x = 353,065 × 353,065
  4. Step 4: Simplify right side
    164,869x = 124,654,894,225
  5. Step 5: Solve for x
    x = 124,654,894,225/164,869
  6. Step 6: Final answer
    x = 756,084.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.