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Finding the Third Proportional to 144,870 and 230,516

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Solution

The third proportional to 144,870 and 230,516 is: 366,795.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,870 : 230,516 = 230,516 : x
  2. Step 2: Convert to fraction form
    144,870/230,516 = 230,516/x
  3. Step 3: Cross multiply
    144,870x = 230,516 × 230,516
  4. Step 4: Simplify right side
    144,870x = 53,137,626,256
  5. Step 5: Solve for x
    x = 53,137,626,256/144,870
  6. Step 6: Final answer
    x = 366,795.24

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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.