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Finding the Third Proportional to 212,041.50 and 464,187

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Solution

The third proportional to 212,041.50 and 464,187 is: 1,016,166.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,041.50 : 464,187 = 464,187 : x
  2. Step 2: Convert to fraction form
    212,041.50/464,187 = 464,187/x
  3. Step 3: Cross multiply
    212,041.50x = 464,187 × 464,187
  4. Step 4: Simplify right side
    212,041.50x = 215,469,570,969
  5. Step 5: Solve for x
    x = 215,469,570,969/212,041.50
  6. Step 6: Final answer
    x = 1,016,166.98

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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.