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Finding the Third Proportional to 231,693.75 and 370,023.75

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Solution

The third proportional to 231,693.75 and 370,023.75 is: 590,942.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,693.75 : 370,023.75 = 370,023.75 : x
  2. Step 2: Convert to fraction form
    231,693.75/370,023.75 = 370,023.75/x
  3. Step 3: Cross multiply
    231,693.75x = 370,023.75 × 370,023.75
  4. Step 4: Simplify right side
    231,693.75x = 136,917,575,564.06
  5. Step 5: Solve for x
    x = 136,917,575,564.06/231,693.75
  6. Step 6: Final answer
    x = 590,942.03

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.