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Finding the Third Proportional to 159,352 and 216,520

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Solution

The third proportional to 159,352 and 216,520 is: 294,197.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,352 : 216,520 = 216,520 : x
  2. Step 2: Convert to fraction form
    159,352/216,520 = 216,520/x
  3. Step 3: Cross multiply
    159,352x = 216,520 × 216,520
  4. Step 4: Simplify right side
    159,352x = 46,880,910,400
  5. Step 5: Solve for x
    x = 46,880,910,400/159,352
  6. Step 6: Final answer
    x = 294,197.19

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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.