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Finding the Third Proportional to 104,328 and 163,654

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Solution

The third proportional to 104,328 and 163,654 is: 256,715.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,328 : 163,654 = 163,654 : x
  2. Step 2: Convert to fraction form
    104,328/163,654 = 163,654/x
  3. Step 3: Cross multiply
    104,328x = 163,654 × 163,654
  4. Step 4: Simplify right side
    104,328x = 26,782,631,716
  5. Step 5: Solve for x
    x = 26,782,631,716/104,328
  6. Step 6: Final answer
    x = 256,715.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.