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Finding the Third Proportional to 89,657 and 211,340.50

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Solution

The third proportional to 89,657 and 211,340.50 is: 498,174.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,657 : 211,340.50 = 211,340.50 : x
  2. Step 2: Convert to fraction form
    89,657/211,340.50 = 211,340.50/x
  3. Step 3: Cross multiply
    89,657x = 211,340.50 × 211,340.50
  4. Step 4: Simplify right side
    89,657x = 44,664,806,940.25
  5. Step 5: Solve for x
    x = 44,664,806,940.25/89,657
  6. Step 6: Final answer
    x = 498,174.23

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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.