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Finding the Third Proportional to 92,374.50 and 197,385

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Solution

The third proportional to 92,374.50 and 197,385 is: 421,770.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,374.50 : 197,385 = 197,385 : x
  2. Step 2: Convert to fraction form
    92,374.50/197,385 = 197,385/x
  3. Step 3: Cross multiply
    92,374.50x = 197,385 × 197,385
  4. Step 4: Simplify right side
    92,374.50x = 38,960,838,225
  5. Step 5: Solve for x
    x = 38,960,838,225/92,374.50
  6. Step 6: Final answer
    x = 421,770.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.