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Finding the Third Proportional to 142,471 and 304,010

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Solution

The third proportional to 142,471 and 304,010 is: 648,708.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,471 : 304,010 = 304,010 : x
  2. Step 2: Convert to fraction form
    142,471/304,010 = 304,010/x
  3. Step 3: Cross multiply
    142,471x = 304,010 × 304,010
  4. Step 4: Simplify right side
    142,471x = 92,422,080,100
  5. Step 5: Solve for x
    x = 92,422,080,100/142,471
  6. Step 6: Final answer
    x = 648,708.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.