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Finding the Third Proportional to 184,960 and 392,960

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Solution

The third proportional to 184,960 and 392,960 is: 834,870.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,960 : 392,960 = 392,960 : x
  2. Step 2: Convert to fraction form
    184,960/392,960 = 392,960/x
  3. Step 3: Cross multiply
    184,960x = 392,960 × 392,960
  4. Step 4: Simplify right side
    184,960x = 154,417,561,600
  5. Step 5: Solve for x
    x = 154,417,561,600/184,960
  6. Step 6: Final answer
    x = 834,870.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.