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Finding the Third Proportional to 236,615.50 and 357,744.25

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Solution

The third proportional to 236,615.50 and 357,744.25 is: 540,881.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,615.50 : 357,744.25 = 357,744.25 : x
  2. Step 2: Convert to fraction form
    236,615.50/357,744.25 = 357,744.25/x
  3. Step 3: Cross multiply
    236,615.50x = 357,744.25 × 357,744.25
  4. Step 4: Simplify right side
    236,615.50x = 127,980,948,408.06
  5. Step 5: Solve for x
    x = 127,980,948,408.06/236,615.50
  6. Step 6: Final answer
    x = 540,881.51

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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.