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Finding the Third Proportional to 184,476 and 293,634

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Solution

The third proportional to 184,476 and 293,634 is: 467,382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,476 : 293,634 = 293,634 : x
  2. Step 2: Convert to fraction form
    184,476/293,634 = 293,634/x
  3. Step 3: Cross multiply
    184,476x = 293,634 × 293,634
  4. Step 4: Simplify right side
    184,476x = 86,220,925,956
  5. Step 5: Solve for x
    x = 86,220,925,956/184,476
  6. Step 6: Final answer
    x = 467,382.89

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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.