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Finding the Third Proportional to 144,974 and 216,786

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Solution

The third proportional to 144,974 and 216,786 is: 324,169.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,974 : 216,786 = 216,786 : x
  2. Step 2: Convert to fraction form
    144,974/216,786 = 216,786/x
  3. Step 3: Cross multiply
    144,974x = 216,786 × 216,786
  4. Step 4: Simplify right side
    144,974x = 46,996,169,796
  5. Step 5: Solve for x
    x = 46,996,169,796/144,974
  6. Step 6: Final answer
    x = 324,169.64

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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.