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Finding the Third Proportional to 94,815 and 209,342

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Solution

The third proportional to 94,815 and 209,342 is: 462,206.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,815 : 209,342 = 209,342 : x
  2. Step 2: Convert to fraction form
    94,815/209,342 = 209,342/x
  3. Step 3: Cross multiply
    94,815x = 209,342 × 209,342
  4. Step 4: Simplify right side
    94,815x = 43,824,072,964
  5. Step 5: Solve for x
    x = 43,824,072,964/94,815
  6. Step 6: Final answer
    x = 462,206.12

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.