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Finding the Third Proportional to 157,638.38 and 238,092.75

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Solution

The third proportional to 157,638.38 and 238,092.75 is: 359,608.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,638.38 : 238,092.75 = 238,092.75 : x
  2. Step 2: Convert to fraction form
    157,638.38/238,092.75 = 238,092.75/x
  3. Step 3: Cross multiply
    157,638.38x = 238,092.75 × 238,092.75
  4. Step 4: Simplify right side
    157,638.38x = 56,688,157,602.56
  5. Step 5: Solve for x
    x = 56,688,157,602.56/157,638.38
  6. Step 6: Final answer
    x = 359,608.87

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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.