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Finding the Third Proportional to 238,401.75 and 360,032.25

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Solution

The third proportional to 238,401.75 and 360,032.25 is: 543,717.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,401.75 : 360,032.25 = 360,032.25 : x
  2. Step 2: Convert to fraction form
    238,401.75/360,032.25 = 360,032.25/x
  3. Step 3: Cross multiply
    238,401.75x = 360,032.25 × 360,032.25
  4. Step 4: Simplify right side
    238,401.75x = 129,623,221,040.06
  5. Step 5: Solve for x
    x = 129,623,221,040.06/238,401.75
  6. Step 6: Final answer
    x = 543,717.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.