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Finding the Third Proportional to 140,388 and 300,072

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Solution

The third proportional to 140,388 and 300,072 is: 641,388.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,388 : 300,072 = 300,072 : x
  2. Step 2: Convert to fraction form
    140,388/300,072 = 300,072/x
  3. Step 3: Cross multiply
    140,388x = 300,072 × 300,072
  4. Step 4: Simplify right side
    140,388x = 90,043,205,184
  5. Step 5: Solve for x
    x = 90,043,205,184/140,388
  6. Step 6: Final answer
    x = 641,388.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.