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Finding the Third Proportional to 140,940 and 304,536

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Solution

The third proportional to 140,940 and 304,536 is: 658,025.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,940 : 304,536 = 304,536 : x
  2. Step 2: Convert to fraction form
    140,940/304,536 = 304,536/x
  3. Step 3: Cross multiply
    140,940x = 304,536 × 304,536
  4. Step 4: Simplify right side
    140,940x = 92,742,175,296
  5. Step 5: Solve for x
    x = 92,742,175,296/140,940
  6. Step 6: Final answer
    x = 658,025.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.