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Finding the Third Proportional to 144,964 and 294,004

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Solution

The third proportional to 144,964 and 294,004 is: 596,274.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,964 : 294,004 = 294,004 : x
  2. Step 2: Convert to fraction form
    144,964/294,004 = 294,004/x
  3. Step 3: Cross multiply
    144,964x = 294,004 × 294,004
  4. Step 4: Simplify right side
    144,964x = 86,438,352,016
  5. Step 5: Solve for x
    x = 86,438,352,016/144,964
  6. Step 6: Final answer
    x = 596,274.61

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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.