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Finding the Third Proportional to 144,671 and 230,210

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Solution

The third proportional to 144,671 and 230,210 is: 366,325.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,671 : 230,210 = 230,210 : x
  2. Step 2: Convert to fraction form
    144,671/230,210 = 230,210/x
  3. Step 3: Cross multiply
    144,671x = 230,210 × 230,210
  4. Step 4: Simplify right side
    144,671x = 52,996,644,100
  5. Step 5: Solve for x
    x = 52,996,644,100/144,671
  6. Step 6: Final answer
    x = 366,325.28

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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.