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Finding the Third Proportional to 94,043 and 205,582

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Solution

The third proportional to 94,043 and 205,582 is: 449,411.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,043 : 205,582 = 205,582 : x
  2. Step 2: Convert to fraction form
    94,043/205,582 = 205,582/x
  3. Step 3: Cross multiply
    94,043x = 205,582 × 205,582
  4. Step 4: Simplify right side
    94,043x = 42,263,958,724
  5. Step 5: Solve for x
    x = 42,263,958,724/94,043
  6. Step 6: Final answer
    x = 449,411.00

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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.