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Finding the Third Proportional to 235,568.25 and 375,204.66

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Solution

The third proportional to 235,568.25 and 375,204.66 is: 597,612.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,568.25 : 375,204.66 = 375,204.66 : x
  2. Step 2: Convert to fraction form
    235,568.25/375,204.66 = 375,204.66/x
  3. Step 3: Cross multiply
    235,568.25x = 375,204.66 × 375,204.66
  4. Step 4: Simplify right side
    235,568.25x = 140,778,534,071.68
  5. Step 5: Solve for x
    x = 140,778,534,071.68/235,568.25
  6. Step 6: Final answer
    x = 597,612.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.