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Finding the Third Proportional to 87,817.50 and 207,235.50

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Solution

The third proportional to 87,817.50 and 207,235.50 is: 489,043.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,817.50 : 207,235.50 = 207,235.50 : x
  2. Step 2: Convert to fraction form
    87,817.50/207,235.50 = 207,235.50/x
  3. Step 3: Cross multiply
    87,817.50x = 207,235.50 × 207,235.50
  4. Step 4: Simplify right side
    87,817.50x = 42,946,552,460.25
  5. Step 5: Solve for x
    x = 42,946,552,460.25/87,817.50
  6. Step 6: Final answer
    x = 489,043.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.