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Finding the Third Proportional to 144,964.13 and 294,004.13

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Solution

The third proportional to 144,964.13 and 294,004.13 is: 596,274.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,964.13 : 294,004.13 = 294,004.13 : x
  2. Step 2: Convert to fraction form
    144,964.13/294,004.13 = 294,004.13/x
  3. Step 3: Cross multiply
    144,964.13x = 294,004.13 × 294,004.13
  4. Step 4: Simplify right side
    144,964.13x = 86,438,425,517.02
  5. Step 5: Solve for x
    x = 86,438,425,517.02/144,964.13
  6. Step 6: Final answer
    x = 596,274.60

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.