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Finding the Third Proportional to 104,378 and 232,660

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Solution

The third proportional to 104,378 and 232,660 is: 518,602.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,378 : 232,660 = 232,660 : x
  2. Step 2: Convert to fraction form
    104,378/232,660 = 232,660/x
  3. Step 3: Cross multiply
    104,378x = 232,660 × 232,660
  4. Step 4: Simplify right side
    104,378x = 54,130,675,600
  5. Step 5: Solve for x
    x = 54,130,675,600/104,378
  6. Step 6: Final answer
    x = 518,602.35

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.