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Finding the Third Proportional to 115,440 and 184,414

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Solution

The third proportional to 115,440 and 184,414 is: 294,599.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,440 : 184,414 = 184,414 : x
  2. Step 2: Convert to fraction form
    115,440/184,414 = 184,414/x
  3. Step 3: Cross multiply
    115,440x = 184,414 × 184,414
  4. Step 4: Simplify right side
    115,440x = 34,008,523,396
  5. Step 5: Solve for x
    x = 34,008,523,396/115,440
  6. Step 6: Final answer
    x = 294,599.13

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.