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Finding the Third Proportional to 144,942 and 293,979

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Solution

The third proportional to 144,942 and 293,979 is: 596,263.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,942 : 293,979 = 293,979 : x
  2. Step 2: Convert to fraction form
    144,942/293,979 = 293,979/x
  3. Step 3: Cross multiply
    144,942x = 293,979 × 293,979
  4. Step 4: Simplify right side
    144,942x = 86,423,652,441
  5. Step 5: Solve for x
    x = 86,423,652,441/144,942
  6. Step 6: Final answer
    x = 596,263.69

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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.