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Finding the Third Proportional to 148,074.75 and 238,461.75

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Solution

The third proportional to 148,074.75 and 238,461.75 is: 384,022.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,074.75 : 238,461.75 = 238,461.75 : x
  2. Step 2: Convert to fraction form
    148,074.75/238,461.75 = 238,461.75/x
  3. Step 3: Cross multiply
    148,074.75x = 238,461.75 × 238,461.75
  4. Step 4: Simplify right side
    148,074.75x = 56,864,006,213.06
  5. Step 5: Solve for x
    x = 56,864,006,213.06/148,074.75
  6. Step 6: Final answer
    x = 384,022.30

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.