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Finding the Third Proportional to 108,324 and 236,520

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Solution

The third proportional to 108,324 and 236,520 is: 516,429.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,324 : 236,520 = 236,520 : x
  2. Step 2: Convert to fraction form
    108,324/236,520 = 236,520/x
  3. Step 3: Cross multiply
    108,324x = 236,520 × 236,520
  4. Step 4: Simplify right side
    108,324x = 55,941,710,400
  5. Step 5: Solve for x
    x = 55,941,710,400/108,324
  6. Step 6: Final answer
    x = 516,429.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.