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Finding the Third Proportional to 189,641 and 277,455

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Solution

The third proportional to 189,641 and 277,455 is: 405,931.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,641 : 277,455 = 277,455 : x
  2. Step 2: Convert to fraction form
    189,641/277,455 = 277,455/x
  3. Step 3: Cross multiply
    189,641x = 277,455 × 277,455
  4. Step 4: Simplify right side
    189,641x = 76,981,277,025
  5. Step 5: Solve for x
    x = 76,981,277,025/189,641
  6. Step 6: Final answer
    x = 405,931.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.