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Finding the Third Proportional to 159,457 and 216,654

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Solution

The third proportional to 159,457 and 216,654 is: 294,367.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,457 : 216,654 = 216,654 : x
  2. Step 2: Convert to fraction form
    159,457/216,654 = 216,654/x
  3. Step 3: Cross multiply
    159,457x = 216,654 × 216,654
  4. Step 4: Simplify right side
    159,457x = 46,938,955,716
  5. Step 5: Solve for x
    x = 46,938,955,716/159,457
  6. Step 6: Final answer
    x = 294,367.48

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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.