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Finding the Third Proportional to 159,435 and 216,621

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Solution

The third proportional to 159,435 and 216,621 is: 294,318.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,435 : 216,621 = 216,621 : x
  2. Step 2: Convert to fraction form
    159,435/216,621 = 216,621/x
  3. Step 3: Cross multiply
    159,435x = 216,621 × 216,621
  4. Step 4: Simplify right side
    159,435x = 46,924,657,641
  5. Step 5: Solve for x
    x = 46,924,657,641/159,435
  6. Step 6: Final answer
    x = 294,318.42

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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.