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Finding the Third Proportional to 216,072 and 341,838

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Solution

The third proportional to 216,072 and 341,838 is: 540,806.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,072 : 341,838 = 341,838 : x
  2. Step 2: Convert to fraction form
    216,072/341,838 = 341,838/x
  3. Step 3: Cross multiply
    216,072x = 341,838 × 341,838
  4. Step 4: Simplify right side
    216,072x = 116,853,218,244
  5. Step 5: Solve for x
    x = 116,853,218,244/216,072
  6. Step 6: Final answer
    x = 540,806.85

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.