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Finding the Third Proportional to 159,206 and 216,348

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Solution

The third proportional to 159,206 and 216,348 is: 293,999.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,206 : 216,348 = 216,348 : x
  2. Step 2: Convert to fraction form
    159,206/216,348 = 216,348/x
  3. Step 3: Cross multiply
    159,206x = 216,348 × 216,348
  4. Step 4: Simplify right side
    159,206x = 46,806,457,104
  5. Step 5: Solve for x
    x = 46,806,457,104/159,206
  6. Step 6: Final answer
    x = 293,999.33

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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.