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Finding the Third Proportional to 108,669.52 and 233,407.41

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Solution

The third proportional to 108,669.52 and 233,407.41 is: 501,327.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,669.52 : 233,407.41 = 233,407.41 : x
  2. Step 2: Convert to fraction form
    108,669.52/233,407.41 = 233,407.41/x
  3. Step 3: Cross multiply
    108,669.52x = 233,407.41 × 233,407.41
  4. Step 4: Simplify right side
    108,669.52x = 54,479,017,292.35
  5. Step 5: Solve for x
    x = 54,479,017,292.35/108,669.52
  6. Step 6: Final answer
    x = 501,327.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.