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Finding the Third Proportional to 144,961 and 293,817

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Solution

The third proportional to 144,961 and 293,817 is: 595,528.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,961 : 293,817 = 293,817 : x
  2. Step 2: Convert to fraction form
    144,961/293,817 = 293,817/x
  3. Step 3: Cross multiply
    144,961x = 293,817 × 293,817
  4. Step 4: Simplify right side
    144,961x = 86,328,429,489
  5. Step 5: Solve for x
    x = 86,328,429,489/144,961
  6. Step 6: Final answer
    x = 595,528.66

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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.