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Finding the Third Proportional to 144,696 and 230,248

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Solution

The third proportional to 144,696 and 230,248 is: 366,382.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,696 : 230,248 = 230,248 : x
  2. Step 2: Convert to fraction form
    144,696/230,248 = 230,248/x
  3. Step 3: Cross multiply
    144,696x = 230,248 × 230,248
  4. Step 4: Simplify right side
    144,696x = 53,014,141,504
  5. Step 5: Solve for x
    x = 53,014,141,504/144,696
  6. Step 6: Final answer
    x = 366,382.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.