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Finding the Third Proportional to 128,295 and 184,804

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Solution

The third proportional to 128,295 and 184,804 is: 266,203.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,295 : 184,804 = 184,804 : x
  2. Step 2: Convert to fraction form
    128,295/184,804 = 184,804/x
  3. Step 3: Cross multiply
    128,295x = 184,804 × 184,804
  4. Step 4: Simplify right side
    128,295x = 34,152,518,416
  5. Step 5: Solve for x
    x = 34,152,518,416/128,295
  6. Step 6: Final answer
    x = 266,203.04

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.