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Finding the Third Proportional to 157,801.50 and 238,344.75

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Solution

The third proportional to 157,801.50 and 238,344.75 is: 359,997.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,801.50 : 238,344.75 = 238,344.75 : x
  2. Step 2: Convert to fraction form
    157,801.50/238,344.75 = 238,344.75/x
  3. Step 3: Cross multiply
    157,801.50x = 238,344.75 × 238,344.75
  4. Step 4: Simplify right side
    157,801.50x = 56,808,219,852.56
  5. Step 5: Solve for x
    x = 56,808,219,852.56/157,801.50
  6. Step 6: Final answer
    x = 359,997.97

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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.