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Finding the Third Proportional to 184,304 and 293,061

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Solution

The third proportional to 184,304 and 293,061 is: 465,995.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,304 : 293,061 = 293,061 : x
  2. Step 2: Convert to fraction form
    184,304/293,061 = 293,061/x
  3. Step 3: Cross multiply
    184,304x = 293,061 × 293,061
  4. Step 4: Simplify right side
    184,304x = 85,884,749,721
  5. Step 5: Solve for x
    x = 85,884,749,721/184,304
  6. Step 6: Final answer
    x = 465,995.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.