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Finding the Third Proportional to 144,965 and 294,006

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Solution

The third proportional to 144,965 and 294,006 is: 596,278.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,965 : 294,006 = 294,006 : x
  2. Step 2: Convert to fraction form
    144,965/294,006 = 294,006/x
  3. Step 3: Cross multiply
    144,965x = 294,006 × 294,006
  4. Step 4: Simplify right side
    144,965x = 86,439,528,036
  5. Step 5: Solve for x
    x = 86,439,528,036/144,965
  6. Step 6: Final answer
    x = 596,278.61

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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.