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Finding the Third Proportional to 142,743.94 and 304,004.81

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Solution

The third proportional to 142,743.94 and 304,004.81 is: 647,445.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,743.94 : 304,004.81 = 304,004.81 : x
  2. Step 2: Convert to fraction form
    142,743.94/304,004.81 = 304,004.81/x
  3. Step 3: Cross multiply
    142,743.94x = 304,004.81 × 304,004.81
  4. Step 4: Simplify right side
    142,743.94x = 92,418,926,023.16
  5. Step 5: Solve for x
    x = 92,418,926,023.16/142,743.94
  6. Step 6: Final answer
    x = 647,445.54

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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.