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Finding the Third Proportional to 157,620.94 and 238,074.19

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Solution

The third proportional to 157,620.94 and 238,074.19 is: 359,592.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,620.94 : 238,074.19 = 238,074.19 : x
  2. Step 2: Convert to fraction form
    157,620.94/238,074.19 = 238,074.19/x
  3. Step 3: Cross multiply
    157,620.94x = 238,074.19 × 238,074.19
  4. Step 4: Simplify right side
    157,620.94x = 56,679,318,753.79
  5. Step 5: Solve for x
    x = 56,679,318,753.79/157,620.94
  6. Step 6: Final answer
    x = 359,592.57

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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.