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Finding the Third Proportional to 192,234 and 420,657.38

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Solution

The third proportional to 192,234 and 420,657.38 is: 920,506.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,234 : 420,657.38 = 420,657.38 : x
  2. Step 2: Convert to fraction form
    192,234/420,657.38 = 420,657.38/x
  3. Step 3: Cross multiply
    192,234x = 420,657.38 × 420,657.38
  4. Step 4: Simplify right side
    192,234x = 176,952,627,141.89
  5. Step 5: Solve for x
    x = 176,952,627,141.89/192,234
  6. Step 6: Final answer
    x = 920,506.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.