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Finding the Third Proportional to 144,606 and 216,141

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Solution

The third proportional to 144,606 and 216,141 is: 323,063.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,606 : 216,141 = 216,141 : x
  2. Step 2: Convert to fraction form
    144,606/216,141 = 216,141/x
  3. Step 3: Cross multiply
    144,606x = 216,141 × 216,141
  4. Step 4: Simplify right side
    144,606x = 46,716,931,881
  5. Step 5: Solve for x
    x = 46,716,931,881/144,606
  6. Step 6: Final answer
    x = 323,063.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.