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Finding the Third Proportional to 159,426 and 216,630

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Solution

The third proportional to 159,426 and 216,630 is: 294,359.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,426 : 216,630 = 216,630 : x
  2. Step 2: Convert to fraction form
    159,426/216,630 = 216,630/x
  3. Step 3: Cross multiply
    159,426x = 216,630 × 216,630
  4. Step 4: Simplify right side
    159,426x = 46,928,556,900
  5. Step 5: Solve for x
    x = 46,928,556,900/159,426
  6. Step 6: Final answer
    x = 294,359.50

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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.