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Finding the Third Proportional to 140,482 and 304,772

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Solution

The third proportional to 140,482 and 304,772 is: 661,194.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,482 : 304,772 = 304,772 : x
  2. Step 2: Convert to fraction form
    140,482/304,772 = 304,772/x
  3. Step 3: Cross multiply
    140,482x = 304,772 × 304,772
  4. Step 4: Simplify right side
    140,482x = 92,885,971,984
  5. Step 5: Solve for x
    x = 92,885,971,984/140,482
  6. Step 6: Final answer
    x = 661,194.83

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