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Finding the Third Proportional to 238,254.50 and 464,536.50

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Solution

The third proportional to 238,254.50 and 464,536.50 is: 905,729.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,254.50 : 464,536.50 = 464,536.50 : x
  2. Step 2: Convert to fraction form
    238,254.50/464,536.50 = 464,536.50/x
  3. Step 3: Cross multiply
    238,254.50x = 464,536.50 × 464,536.50
  4. Step 4: Simplify right side
    238,254.50x = 215,794,159,832.25
  5. Step 5: Solve for x
    x = 215,794,159,832.25/238,254.50
  6. Step 6: Final answer
    x = 905,729.63

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.