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Finding the Third Proportional to 140,741 and 304,972

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Solution

The third proportional to 140,741 and 304,972 is: 660,844.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,741 : 304,972 = 304,972 : x
  2. Step 2: Convert to fraction form
    140,741/304,972 = 304,972/x
  3. Step 3: Cross multiply
    140,741x = 304,972 × 304,972
  4. Step 4: Simplify right side
    140,741x = 93,007,920,784
  5. Step 5: Solve for x
    x = 93,007,920,784/140,741
  6. Step 6: Final answer
    x = 660,844.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.