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Finding the Third Proportional to 159,473 and 216,673

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Solution

The third proportional to 159,473 and 216,673 is: 294,389.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,473 : 216,673 = 216,673 : x
  2. Step 2: Convert to fraction form
    159,473/216,673 = 216,673/x
  3. Step 3: Cross multiply
    159,473x = 216,673 × 216,673
  4. Step 4: Simplify right side
    159,473x = 46,947,188,929
  5. Step 5: Solve for x
    x = 46,947,188,929/159,473
  6. Step 6: Final answer
    x = 294,389.58

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.