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Finding the Third Proportional to 144,666 and 216,856

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Solution

The third proportional to 144,666 and 216,856 is: 325,069.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,666 : 216,856 = 216,856 : x
  2. Step 2: Convert to fraction form
    144,666/216,856 = 216,856/x
  3. Step 3: Cross multiply
    144,666x = 216,856 × 216,856
  4. Step 4: Simplify right side
    144,666x = 47,026,524,736
  5. Step 5: Solve for x
    x = 47,026,524,736/144,666
  6. Step 6: Final answer
    x = 325,069.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.