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Finding the Third Proportional to 159,210 and 216,336.50

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Solution

The third proportional to 159,210 and 216,336.50 is: 293,960.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,210 : 216,336.50 = 216,336.50 : x
  2. Step 2: Convert to fraction form
    159,210/216,336.50 = 216,336.50/x
  3. Step 3: Cross multiply
    159,210x = 216,336.50 × 216,336.50
  4. Step 4: Simplify right side
    159,210x = 46,801,481,232.25
  5. Step 5: Solve for x
    x = 46,801,481,232.25/159,210
  6. Step 6: Final answer
    x = 293,960.69

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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.