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Finding the Third Proportional to 184,288 and 260,988

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Solution

The third proportional to 184,288 and 260,988 is: 369,610.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,288 : 260,988 = 260,988 : x
  2. Step 2: Convert to fraction form
    184,288/260,988 = 260,988/x
  3. Step 3: Cross multiply
    184,288x = 260,988 × 260,988
  4. Step 4: Simplify right side
    184,288x = 68,114,736,144
  5. Step 5: Solve for x
    x = 68,114,736,144/184,288
  6. Step 6: Final answer
    x = 369,610.26

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.