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Finding the Third Proportional to 155,521.50 and 238,197

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Solution

The third proportional to 155,521.50 and 238,197 is: 364,822.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,521.50 : 238,197 = 238,197 : x
  2. Step 2: Convert to fraction form
    155,521.50/238,197 = 238,197/x
  3. Step 3: Cross multiply
    155,521.50x = 238,197 × 238,197
  4. Step 4: Simplify right side
    155,521.50x = 56,737,810,809
  5. Step 5: Solve for x
    x = 56,737,810,809/155,521.50
  6. Step 6: Final answer
    x = 364,822.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.