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Finding the Third Proportional to 140,912 and 293,464

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Solution

The third proportional to 140,912 and 293,464 is: 611,169.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,912 : 293,464 = 293,464 : x
  2. Step 2: Convert to fraction form
    140,912/293,464 = 293,464/x
  3. Step 3: Cross multiply
    140,912x = 293,464 × 293,464
  4. Step 4: Simplify right side
    140,912x = 86,121,119,296
  5. Step 5: Solve for x
    x = 86,121,119,296/140,912
  6. Step 6: Final answer
    x = 611,169.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.