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Finding the Third Proportional to 168,239.25 and 258,595.13

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Solution

The third proportional to 168,239.25 and 258,595.13 is: 397,478.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,239.25 : 258,595.13 = 258,595.13 : x
  2. Step 2: Convert to fraction form
    168,239.25/258,595.13 = 258,595.13/x
  3. Step 3: Cross multiply
    168,239.25x = 258,595.13 × 258,595.13
  4. Step 4: Simplify right side
    168,239.25x = 66,871,438,673.77
  5. Step 5: Solve for x
    x = 66,871,438,673.77/168,239.25
  6. Step 6: Final answer
    x = 397,478.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.