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Finding the Third Proportional to 184,349 and 293,129

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Solution

The third proportional to 184,349 and 293,129 is: 466,097.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,349 : 293,129 = 293,129 : x
  2. Step 2: Convert to fraction form
    184,349/293,129 = 293,129/x
  3. Step 3: Cross multiply
    184,349x = 293,129 × 293,129
  4. Step 4: Simplify right side
    184,349x = 85,924,610,641
  5. Step 5: Solve for x
    x = 85,924,610,641/184,349
  6. Step 6: Final answer
    x = 466,097.51

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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.