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Finding the Third Proportional to 100,621 and 232,754

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Solution

The third proportional to 100,621 and 232,754 is: 538,400.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,621 : 232,754 = 232,754 : x
  2. Step 2: Convert to fraction form
    100,621/232,754 = 232,754/x
  3. Step 3: Cross multiply
    100,621x = 232,754 × 232,754
  4. Step 4: Simplify right side
    100,621x = 54,174,424,516
  5. Step 5: Solve for x
    x = 54,174,424,516/100,621
  6. Step 6: Final answer
    x = 538,400.78

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.