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Finding the Third Proportional to 184,842 and 293,823

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Solution

The third proportional to 184,842 and 293,823 is: 467,058.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,842 : 293,823 = 293,823 : x
  2. Step 2: Convert to fraction form
    184,842/293,823 = 293,823/x
  3. Step 3: Cross multiply
    184,842x = 293,823 × 293,823
  4. Step 4: Simplify right side
    184,842x = 86,331,955,329
  5. Step 5: Solve for x
    x = 86,331,955,329/184,842
  6. Step 6: Final answer
    x = 467,058.11

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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.