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Finding the Third Proportional to 119,088 and 184,314

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Solution

The third proportional to 119,088 and 184,314 is: 285,265.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,088 : 184,314 = 184,314 : x
  2. Step 2: Convert to fraction form
    119,088/184,314 = 184,314/x
  3. Step 3: Cross multiply
    119,088x = 184,314 × 184,314
  4. Step 4: Simplify right side
    119,088x = 33,971,650,596
  5. Step 5: Solve for x
    x = 33,971,650,596/119,088
  6. Step 6: Final answer
    x = 285,265.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.