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Finding the Third Proportional to 164,803 and 352,936

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Solution

The third proportional to 164,803 and 352,936 is: 755,834.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,803 : 352,936 = 352,936 : x
  2. Step 2: Convert to fraction form
    164,803/352,936 = 352,936/x
  3. Step 3: Cross multiply
    164,803x = 352,936 × 352,936
  4. Step 4: Simplify right side
    164,803x = 124,563,820,096
  5. Step 5: Solve for x
    x = 124,563,820,096/164,803
  6. Step 6: Final answer
    x = 755,834.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.