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Finding the Third Proportional to 214,807.50 and 447,265.50

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Solution

The third proportional to 214,807.50 and 447,265.50 is: 931,282.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,807.50 : 447,265.50 = 447,265.50 : x
  2. Step 2: Convert to fraction form
    214,807.50/447,265.50 = 447,265.50/x
  3. Step 3: Cross multiply
    214,807.50x = 447,265.50 × 447,265.50
  4. Step 4: Simplify right side
    214,807.50x = 200,046,427,490.25
  5. Step 5: Solve for x
    x = 200,046,427,490.25/214,807.50
  6. Step 6: Final answer
    x = 931,282.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.