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Finding the Third Proportional to 164,354 and 250,944

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Solution

The third proportional to 164,354 and 250,944 is: 383,153.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,354 : 250,944 = 250,944 : x
  2. Step 2: Convert to fraction form
    164,354/250,944 = 250,944/x
  3. Step 3: Cross multiply
    164,354x = 250,944 × 250,944
  4. Step 4: Simplify right side
    164,354x = 62,972,891,136
  5. Step 5: Solve for x
    x = 62,972,891,136/164,354
  6. Step 6: Final answer
    x = 383,153.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.