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Finding the Third Proportional to 94,046 and 205,588

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Solution

The third proportional to 94,046 and 205,588 is: 449,422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,046 : 205,588 = 205,588 : x
  2. Step 2: Convert to fraction form
    94,046/205,588 = 205,588/x
  3. Step 3: Cross multiply
    94,046x = 205,588 × 205,588
  4. Step 4: Simplify right side
    94,046x = 42,266,425,744
  5. Step 5: Solve for x
    x = 42,266,425,744/94,046
  6. Step 6: Final answer
    x = 449,422.90

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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.