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Finding the Third Proportional to 144,963 and 294,024

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Solution

The third proportional to 144,963 and 294,024 is: 596,359.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,963 : 294,024 = 294,024 : x
  2. Step 2: Convert to fraction form
    144,963/294,024 = 294,024/x
  3. Step 3: Cross multiply
    144,963x = 294,024 × 294,024
  4. Step 4: Simplify right side
    144,963x = 86,450,112,576
  5. Step 5: Solve for x
    x = 86,450,112,576/144,963
  6. Step 6: Final answer
    x = 596,359.85

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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.